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  • Erratum: The Jiang–Su Absorption for Inclusions of Unital C*-algebras
    Can. J. Math. (IF 0.881) Pub Date : 2020-06-11
    Hiroyuki Osaka; Tamotsu Teruya

    We correct an error in the statement in a proposition and a theorem in Jiang–Su absorption for inclusions of unital C*-algebras. Canad. J. Math. 70(2018), 400–425. This error was found by Dr. M. Ali Asadi-Vasfi and communicated to the authors by N. Christopher Phillips of the University of Oregon, who also suggested the outline for the following correct proofs.

    更新日期:2020-06-11
  • Données endoscopiques d’un groupe réductif connexe : applications d’une construction de Langlands
    Can. J. Math. (IF 0.881) Pub Date : 2020-05-15
    Bertrand Lemaire; Jean-Loup Waldspurger

    Soient $F$ un corps global, et $G$ un groupe réductif connexe défini sur $F$ . On prouve que si deux données endoscopiques de $G$ sont équivalentes en presque toute place de $F$ , alors elles sont équivalentes. Le résultat est encore vrai pour l’endoscopie (ordinaire) avec caractère. On donne aussi, pour $F$ global ou local et $G$ quasi-simple simplement connexe, une description des données endoscopiques

    更新日期:2020-05-15
  • Isospectrality for Orbifold Lens Spaces
    Can. J. Math. (IF 0.881) Pub Date : 2019-08-27
    Naveed S. Bari; Eugenie Hunsicker

    We answer Mark Kac’s famous question, “Can one hear the shape of a drum?” in the positive for orbifolds that are 3-dimensional and 4-dimensional lens spaces; we thus complete the answer to this question for orbifold lens spaces in all dimensions. We also show that the coefficients of the asymptotic expansion of the trace of the heat kernel are not sufficient to determine the above results.

    更新日期:2020-04-20
  • Newforms of Half-integral Weight: The Minus Space Counterpart
    Can. J. Math. (IF 0.881) Pub Date : 2019-10-31
    Ehud Moshe Baruch; Soma Purkait

    We study genuine local Hecke algebras of the Iwahori type of the double cover of $\operatorname{SL}_{2}(\mathbb{Q}_{p})$ and translate the generators and relations to classical operators on the space $S_{k+1/2}(\unicode[STIX]{x1D6E4}_{0}(4M))$ , $M$ odd and square-free. In [9] Manickam, Ramakrishnan, and Vasudevan defined the new space of $S_{k+1/2}(\unicode[STIX]{x1D6E4}_{0}(4M))$ that maps Hecke

    更新日期:2020-04-20
  • Marginals with Finite Repulsive Cost
    Can. J. Math. (IF 0.881) Pub Date : 2019-05-07
    Ugo Bindini

    We consider a multimarginal transport problem with repulsive cost, where the marginals are all equal to a fixed probability $\unicode[STIX]{x1D70C}\in {\mathcal{P}}(\mathbb{R}^{d})$ . We prove that, if the concentration of $\unicode[STIX]{x1D70C}$ is less than $1/N$ , then the problem has a solution of finite cost. The result is sharp, in the sense that there exists $\unicode[STIX]{x1D70C}$ with concentration

    更新日期:2020-04-20
  • Automatic Sequences and Generalised Polynomials
    Can. J. Math. (IF 0.881) Pub Date : 2019-06-13
    Jakub Byszewski; Jakub Konieczny

    We conjecture that bounded generalised polynomial functions cannot be generated by finite automata, except for the trivial case when they are ultimately periodic.

    更新日期:2020-04-20
  • One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke $L$ -functions
    Can. J. Math. (IF 0.881) Pub Date : 2019-08-30
    Peng Gao; Liangyi Zhao

    In this paper we prove some one-level density results for the low-lying zeros of families of quadratic and quartic Hecke $L$ -functions of the Gaussian field. As corollaries, we deduce that at least 94.27% and 5%, respectively, of the members of the quadratic family and the quartic family do not vanish at the central point.

    更新日期:2020-04-20
  • Orlicz Addition for Measures and an Optimization Problem for the $f$ -divergence
    Can. J. Math. (IF 0.881) Pub Date : 2019-07-16
    Shaoxiong Hou; Deping Ye

    This paper provides a functional analogue of the recently initiated dual Orlicz–Brunn–Minkowski theory for star bodies. We first propose the Orlicz addition of measures, and establish the dual functional Orlicz–Brunn–Minkowski inequality. Based on a family of linear Orlicz additions of two measures, we provide an interpretation for the famous $f$ -divergence. Jensen’s inequality for integrals is also

    更新日期:2020-04-20
  • Primes Dividing Invariants of CM Picard Curves
    Can. J. Math. (IF 0.881) Pub Date : 2019-05-07
    Pınar Kılıçer; Elisa Lorenzo García; Marco Streng

    We give a bound on the primes dividing the denominators of invariants of Picard curves of genus 3 with complex multiplication. Unlike earlier bounds in genus 2 and 3, our bound is based, not on bad reduction of curves, but on a very explicit type of good reduction. This approach simultaneously yields a simplification of the proof and much sharper bounds. In fact, unlike all previous bounds for genus

    更新日期:2020-04-20
  • On the Chow Ring of Cynk–Hulek Calabi–Yau Varieties and Schreieder Varieties
    Can. J. Math. (IF 0.881) Pub Date : 2019-09-03
    Robert Laterveer; Charles Vial

    This note is about certain locally complete families of Calabi–Yau varieties constructed by Cynk and Hulek, and certain varieties constructed by Schreieder. We prove that the cycle class map on the Chow ring of powers of these varieties admits a section, and that these varieties admit a multiplicative self-dual Chow–Künneth decomposition. As a consequence of both results, we prove that the subring

    更新日期:2020-04-20
  • Almost Simplicial Polytopes: The Lower and Upper Bound Theorems
    Can. J. Math. (IF 0.881) Pub Date : 2019-05-21
    Eran Nevo; Guillermo Pineda-Villavicencio; Julien Ugon; David Yost

    We study $n$ -vertex $d$ -dimensional polytopes with at most one nonsimplex facet with, say, $d+s$ vertices, called almost simplicial polytopes. We provide tight lower and upper bound theorems for these polytopes as functions of $d,n$ , and $s$ , thus generalizing the classical Lower Bound Theorem by Barnette and the Upper Bound Theorem by McMullen, which treat the case where $s=0$ . We characterize

    更新日期:2020-04-20
  • CJM volume 72 Issue 2 Cover and Front matter
    Can. J. Math. (IF 0.881) Pub Date : 2020-03-31

    None

    更新日期:2020-04-20
  • CJM volume 72 Issue 2 Cover and Back matter
    Can. J. Math. (IF 0.881) Pub Date : 2020-03-31

    None

    更新日期:2020-04-20
  • Coxeter Diagrams and the Köthe’s Problem
    Can. J. Math. (IF 0.881) Pub Date : 2020-02-24
    Ziba Fazelpour; Alireza Nasr-Isfahani

    A ring $\unicode[STIX]{x1D6EC}$ is called right Köthe if every right $\unicode[STIX]{x1D6EC}$ -module is a direct sum of cyclic modules. In this paper, we give a characterization of basic hereditary right Köthe rings in terms of their Coxeter valued quivers. We also give a characterization of basic right Köthe rings with radical square zero. Therefore, we give a solution to Köthe’s problem in these

    更新日期:2020-02-24
  • Extension Property and Universal Sets
    Can. J. Math. (IF 0.881) Pub Date : 2020-02-24
    Łukasz Kosiński; Włodzimierz Zwonek

    Motivated by works on extension sets in standard domains, we introduce a notion of the Carathéodory set that seems better suited for the methods used in proofs of results on characterization of extension sets. A special stress is put on a class of two-dimensional submanifolds in the tridisc that not only turns out to be Carathéodory but also provides examples of two-dimensional domains for which the

    更新日期:2020-02-24
  • An Application of Spherical Geometry to Hyperkähler Slices
    Can. J. Math. (IF 0.881) Pub Date : 2020-02-24
    Peter Crooks; Maarten van Pruijssen

    This work is concerned with Bielawski’s hyperkähler slices in the cotangent bundles of homogeneous affine varieties. One can associate such a slice with the data of a complex semisimple Lie group  $G$ , a reductive subgroup $H\subseteq G$ , and a Slodowy slice $S\subseteq \mathfrak{g}:=\text{Lie}(G)$ , defining it to be the hyperkähler quotient of $T^{\ast }(G/H)\times (G\times S)$ by a maximal compact

    更新日期:2020-02-24
  • Universal Alternating Semiregular Polytopes
    Can. J. Math. (IF 0.881) Pub Date : 2020-02-12
    B. Monson; Egon Schulte

    In the classical setting, a convex polytope is said to be semiregular if its facets are regular and its symmetry group is transitive on vertices. This paper continues our study of alternating semiregular abstract polytopes, which have abstract regular facets, still with combinatorial automorphism group transitive on vertices and with two kinds of regular facets occurring in an alternating fashion.

    更新日期:2020-02-12
  • Boundedness of Differential Transforms for Heat Semigroups Generated by Schrödinger Operators
    Can. J. Math. (IF 0.881) Pub Date : 2020-02-12
    Zhang Chao; José L. Torrea

    In this paper we analyze the convergence of the following type of series $$\begin{eqnarray}T_{N}^{{\mathcal{L}}}f(x)=\mathop{\sum }_{j=N_{1}}^{N_{2}}v_{j}\big(e^{-a_{j+1}{\mathcal{L}}}f(x)-e^{-a_{j}{\mathcal{L}}}f(x)\big),\quad x\in \mathbb{R}^{n},\end{eqnarray}$$ where ${\{e^{-t{\mathcal{L}}}\}}_{t>0}$ is the heat semigroup of the operator ${\mathcal{L}}=-\unicode[STIX]{x1D6E5}+V$ with $\unicode[STIX]{x1D6E5}$

    更新日期:2020-02-12
  • Generalized Beilinson Elements and Generalized Soulé Characters
    Can. J. Math. (IF 0.881) Pub Date : 2020-02-06
    Kenji Sakugawa

    The generalized Soulé character was introduced by H. Nakamura and Z. Wojtkowiak and is a generalization of Soulé’s cyclotomic character. In this paper, we prove that certain linear sums of generalized Soulé characters essentially coincide with the image of generalized Beilinson elements in K-groups under Soulé’s higher regulator maps. This result generalizes Huber–Wildeshaus’ theorem, which is a cyclotomic

    更新日期:2020-02-06
  • On Extensions for Gentle Algebras
    Can. J. Math. (IF 0.881) Pub Date : 2020-01-28
    İlke Çanakçı; David Pauksztello; Sibylle Schroll

    We give a complete description of a basis of the extension spaces between indecomposable string and quasi-simple band modules in the module category of a gentle algebra.

    更新日期:2020-01-28
  • Matrix Liberation Process II: Relation to Orbital Free Entropy
    Can. J. Math. (IF 0.881) Pub Date : 2020-01-28
    Yoshimichi Ueda

    We investigate the concept of orbital free entropy from the viewpoint of the matrix liberation process. We will show that many basic questions around the definition of orbital free entropy are reduced to the question of full large deviation principle for the matrix liberation process. We will also obtain a large deviation upper bound for a certain family of random matrices that is essential to define

    更新日期:2020-01-28
  • Ideal Uniform Polyhedra in $\mathbb{H}^{n}$ and Covolumes of Higher Dimensional Modular Groups
    Can. J. Math. (IF 0.881) Pub Date : 2020-01-27
    Ruth Kellerhals

    Higher dimensional analogues of the modular group $\mathit{PSL}(2,\mathbb{Z})$ are closely related to hyperbolic reflection groups and Coxeter polyhedra with big symmetry groups. In this context, we develop a theory and dissection properties of ideal hyperbolic $k$ -rectified regular polyhedra, which is of independent interest. As an application, we can identify the covolumes of the quaternionic modular

    更新日期:2020-01-27
  • Variation of Mixed Hodge Structures Associated to an Equisingular One-dimensional Family of Calabi-Yau Threefolds
    Can. J. Math. (IF 0.881) Pub Date : 2020-01-16
    Isidro Nieto-Baños; Pedro Luis del Angel-Rodriguez

    We study the variations of mixed Hodge structures (VMHS) associated with a pencil ${\mathcal{X}}$ of equisingular hypersurfaces of degree $d$ in $\mathbb{P}^{4}$ with only ordinary double points as singularities, as well as the variations of Hodge structures (VHS) associated with the desingularization of this family $\widetilde{{\mathcal{X}}}$ . The notion of a set of singular points being in homologically

    更新日期:2020-01-16
  • Classification of Simple Cuspidal Modules Over a Lattice Lie Algebra of Witt Type
    Can. J. Math. (IF 0.881) Pub Date : 2020-01-13
    Y. Billig; K. Iohara

    Let $W_{\unicode[STIX]{x1D70B}}$ be the lattice Lie algebra of Witt type associated with an additive inclusion $\unicode[STIX]{x1D70B}:\mathbb{Z}^{N}{\hookrightarrow}\mathbb{C}^{2}$ with $N>1$ . In this article, the classification of simple $\mathbb{Z}^{N}$ -graded $W_{\unicode[STIX]{x1D70B}}$ -modules, whose multiplicities are uniformly bounded, is given.

    更新日期:2020-01-13
  • On Intrinsic Quadrics
    Can. J. Math. (IF 0.881) Pub Date : 2019-01-09
    Anne Fahrner; Jürgen Hausen

    An intrinsic quadric is a normal projective variety with a Cox ring defined by a single quadratic relation. We provide explicit descriptions of these varieties in the smooth case for small Picard numbers. As applications, we figure out in this setting the Fano examples and (affirmatively) test Fujita’s freeness conjecture.

    更新日期:2020-01-04
  • Eisenstein Series Arising from Jordan Algebras
    Can. J. Math. (IF 0.881) Pub Date : 2019-01-09
    Marcela Hanzer; Gordan Savin

    We describe poles and the corresponding residual automorphic representations of Eisenstein series attached to maximal parabolic subgroups whose unipotent radicals admit Jordan algebra structure.

    更新日期:2020-01-04
  • CJM volume 72 Issue 1 Cover and Front matter
    Can. J. Math. (IF 0.881) Pub Date : 2020-01-02

    None

    更新日期:2020-01-04
  • CJM volume 72 Issue 1 Cover and Back matter
    Can. J. Math. (IF 0.881) Pub Date : 2020-01-02

    None

    更新日期:2020-01-04
  • On the Linearity of Order-isomorphisms
    Can. J. Math. (IF 0.881) Pub Date : 2020-01-03
    Bas Lemmens; Onno van Gaans; Hendrik van Imhoff

    A basic problem in the theory of partially ordered vector spaces is to characterise those cones on which every order-isomorphism is linear. We show that this is the case for every Archimedean cone that equals the inf-sup hull of the sum of its engaged extreme rays. This condition is milder than existing ones and is satisfied by, for example, the cone of positive operators in the space of bounded self-adjoint

    更新日期:2020-01-03
  • Generalizations of Menchov–Rademacher Theorem and Existence of Wave Operators in Schrödinger Evolution
    Can. J. Math. (IF 0.881) Pub Date : 2019-12-20
    Sergey Denisov; Liban Mohamed

    We obtain generalizations of the classical Menchov–Rademacher theorem to the case of continuous orthogonal systems. These results are applied to show the existence of Moller wave operators in Schrödinger evolution.

    更新日期:2019-12-20
  • LYZ Matrices and SL( $n$ ) Contravariant Valuations on Polytopes
    Can. J. Math. (IF 0.881) Pub Date : 2019-12-18
    Dan Ma; Wei Wang

    All SL( $n$ ) contravariant symmetric matrix valued valuations on convex polytopes in $\mathbb{R}^{n}$ are completely classified without any continuity assumptions. The general Lutwak–Yang–Zhang matrix is shown to be essentially the unique such valuation.

    更新日期:2019-12-18
  • Nearly Parallel G2-structures with Large Symmetry Group
    Can. J. Math. (IF 0.881) Pub Date : 2019-12-16
    Fabio Podestà

    We prove the existence of a one-parameter family of nearly parallel G2-structures on the manifold $\text{S}^{3}\times \mathbb{R}^{4}$ , which are mutually non-isomorphic and invariant under the cohomogeneity one action of the group SU(2)3. This family connects the two locally homogeneous nearly parallel G2-structures that are induced by the homogeneous ones on the sphere S7.

    更新日期:2019-12-16
  • Sector Analogue of the Gauss–Lucas Theorem
    Can. J. Math. (IF 0.881) Pub Date : 2019-12-12
    Blagovest Sendov; Hristo Sendov

    The classical Gauss–Lucas theorem states that the critical points of a polynomial with complex coefficients are in the convex hull of its zeros. This fundamental theorem follows from the fact that if all the zeros of a polynomial are in a half plane, then the same is true for its critical points. The main result of this work replaces the half plane with a sector as follows.

    更新日期:2019-12-12
  • Maximal Inequalities of Noncommutative Martingale Transforms
    Can. J. Math. (IF 0.881) Pub Date : 2019-11-22
    Yong Jiao; Fedor Sukochev; Dejian Zhou

    In this paper, we investigate noncommutative symmetric and asymmetric maximal inequalities associated with martingale transforms and fractional integrals. Our proofs depend on some recent advances on algebraic atomic decomposition and the noncommutative Gundy decomposition. We also prove several fractional maximal inequalities.

    更新日期:2019-11-22
  • On a Property of Harmonic Measure on Simply Connected Domains
    Can. J. Math. (IF 0.881) Pub Date : 2019-11-22
    Christina Karafyllia

    Let $D\subset \mathbb{C}$ be a domain with $0\in D$ . For $R>0$ , let $\widehat{\unicode[STIX]{x1D714}}_{D}(R)$ denote the harmonic measure of $D\cap \{|z|=R\}$ at $0$ with respect to the domain $D\cap \{|z|0$ . Thus, the arising question, first posed by Betsakos, is the following: Does there exist a positive constant $C$ such that for all simply connected domains $D$ with $0\in D$ and all $R>0$ ,

    更新日期:2019-11-22
  • Products of Involutions of an Infinite-dimensional Vector Space
    Can. J. Math. (IF 0.881) Pub Date : 2019-11-15
    Clément de Seguins Pazzis

    We prove that every automorphism of an infinite-dimensional vector space over a field is the product of four involutions, a result that is optimal in the general case. We also characterize the automorphisms that are the product of three involutions. More generally, we study decompositions of automorphisms into three or four factors with prescribed split annihilating polynomials of degree  $2$ .

    更新日期:2019-11-15
  • Topology of Gleason Parts in Maximal Ideal Spaces with no Analytic Discs
    Can. J. Math. (IF 0.881) Pub Date : 2019-11-15
    Alexander J. Izzo; Dimitris Papathanasiou

    We strengthen, in various directions, the theorem of Garnett that every $\unicode[STIX]{x1D70E}$ -compact, completely regular space $X$ occurs as a Gleason part for some uniform algebra. In particular, we show that the uniform algebra can always be chosen so that its maximal ideal space contains no analytic discs. We show that when the space $X$ is metrizable, the uniform algebra can be chosen so that

    更新日期:2019-11-15
  • Simple Formulas for Constellations and Bipartite Maps with Prescribed Degrees
    Can. J. Math. (IF 0.881) Pub Date : 2019-11-12
    Baptiste Louf

    We obtain simple quadratic recurrence formulas counting bipartite maps on surfaces with prescribed degrees (in particular, $2k$ -angulations) and constellations. These formulas are the fastest known way of computing these numbers.

    更新日期:2019-11-12
  • Relative Equivariant Motives and Modules
    Can. J. Math. (IF 0.881) Pub Date : 2019-11-08
    Baptiste Calmès; Alexander Neshitov; Kirill Zainoulline

    We introduce and study various categories of (equivariant) motives of (versal) flag varieties. We relate these categories with certain categories of parabolic (Demazure) modules. We show that the motivic decomposition type of a versal flag variety depends on the direct sum decomposition type of the parabolic module. To do this we use localization techniques of Kostant and Kumar in the context of generalized

    更新日期:2019-11-08
  • $\text{SL}(n)$ Invariant Valuations on Super-Coercive Convex Functions
    Can. J. Math. (IF 0.881) Pub Date : 2019-10-25
    Fabian Mussnig

    All non-negative, continuous, $\text{SL}(n)$ , and translation invariant valuations on the space of super-coercive, convex functions on $\mathbb{R}^{n}$ are classified. Furthermore, using the invariance of the function space under the Legendre transform, a classification of non-negative, continuous, $\text{SL}(n)$ , and dually translation invariant valuations is obtained. In both cases, different functional

    更新日期:2019-10-25
  • New Simple Lattices in Products of Trees and their Projections
    Can. J. Math. (IF 0.881) Pub Date : 2019-10-07
    Nicolas Radu

    Let $\unicode[STIX]{x1D6E4}\leqslant \text{Aut}(T_{d_{1}})\times \text{Aut}(T_{d_{2}})$ be a group acting freely and transitively on the product of two regular trees of degree $d_{1}$ and  $d_{2}$ . We develop an algorithm that computes the closure of the projection of $\unicode[STIX]{x1D6E4}$ on $\text{Aut}(T_{d_{t}})$ under the hypothesis that $d_{t}\geqslant 6$ is even and that the local action

    更新日期:2019-10-07
  • The Erdős–Moser Sum-free Set Problem
    Can. J. Math. (IF 0.881) Pub Date : 2019-09-23
    Tom Sanders

    We show that there is an absolute $c>0$ such that if $A$ is a finite set of integers, then there is a set $S\subset A$ of size at least $\log ^{1+c}|A|$ such that the restricted sumset $\{s+s^{\prime }:s,s^{\prime }\in S\text{ and }s\neq s^{\prime }\}$ is disjoint from $A$ . (The logarithm here is to base $3$ .)

    更新日期:2019-09-23
  • Automaticity and Invariant Measures of Linear Cellular Automata
    Can. J. Math. (IF 0.881) Pub Date : 2019-09-05
    Eric Rowland; Reem Yassawi

    We show that spacetime diagrams of linear cellular automata $\unicode[STIX]{x1D6F7}:\,\mathbb{F}_{p}^{\mathbb{Z}}\rightarrow \mathbb{F}_{p}^{\mathbb{Z}}$ with $(-p)$ -automatic initial conditions are automatic. This extends existing results on initial conditions that are eventually constant. Each automatic spacetime diagram defines a $(\unicode[STIX]{x1D70E},\unicode[STIX]{x1D6F7})$ -invariant subset

    更新日期:2019-09-05
  • The Category of Ordered Bratteli Diagrams
    Can. J. Math. (IF 0.881) Pub Date : 2019-09-03
    Massoud Amini; George A. Elliott; Nasser Golestani

    A category structure for ordered Bratteli diagrams is proposed in which isomorphism coincides with the notion of equivalence of Herman, Putnam, and Skau. It is shown that the natural one-to-one correspondence between the category of Cantor minimal systems and the category of simple properly ordered Bratteli diagrams is in fact an equivalence of categories. This gives a Bratteli–Vershik model for factor

    更新日期:2019-09-03
  • Maximal Operator for the Higher Order Calderón Commutator
    Can. J. Math. (IF 0.881) Pub Date : 2019-09-03
    Xudong Lai

    In this paper, we investigate the weighted multilinear boundedness properties of the maximal higher order Calderón commutator for the dimensions larger than two. We establish all weighted multilinear estimates on the product of the $L^{p}(\mathbb{R}^{d},w)$ space, including some peculiar endpoint estimates of the higher dimensional Calderón commutator.

    更新日期:2019-09-03
  • Polynomials from Combinatorial $K$ -theory
    Can. J. Math. (IF 0.881) Pub Date : 2019-09-03
    Cara Monical; Oliver Pechenik; Dominic Searles

    We introduce two new bases of the ring of polynomials and study their relations to known bases. The first basis is the quasi-Lascoux basis, which is simultaneously both a $K$ -theoretic deformation of the quasi-key basis and also a lift of the $K$ -analogue of the quasi-Schur basis from quasi-symmetric polynomials to general polynomials. We give positive expansions of this quasi-Lascoux basis into

    更新日期:2019-09-03
  • The Genus of a Random Bipartite Graph
    Can. J. Math. (IF 0.881) Pub Date : 2019-08-29
    Yifan Jing; Bojan Mohar

    Archdeacon and Grable (1995) proved that the genus of the random graph $G\in {\mathcal{G}}_{n,p}$ is almost surely close to $pn^{2}/12$ if $p=p(n)\geqslant 3(\ln n)^{2}n^{-1/2}$ . In this paper we prove an analogous result for random bipartite graphs in ${\mathcal{G}}_{n_{1},n_{2},p}$ . If $n_{1}\geqslant n_{2}\gg 1$ , phase transitions occur for every positive integer $i$ when $p=\unicode[STIX]{x

    更新日期:2019-08-29
  • GCR and CCR Steinberg Algebras
    Can. J. Math. (IF 0.881) Pub Date : 2019-08-23
    Lisa O. Clark; Benjamin Steinberg; Daniel W. van Wyk

    Kaplansky introduced the notions of CCR and GCR $C^{\ast }$ -algebras, because they have a tractable representation theory. Many years later, he introduced the notions of CCR and GCR rings. In this paper we characterize when the algebra of an ample groupoid over a field is CCR and GCR. The results turn out to be exact analogues of the corresponding characterization of locally compact groupoids with

    更新日期:2019-08-23
  • Cohomology of Modules Over $H$ -categories and Co- $H$ -categories
    Can. J. Math. (IF 0.881) Pub Date : 2019-08-06
    Mamta Balodi; Abhishek Banerjee; Samarpita Ray

    Let $H$ be a Hopf algebra. We consider $H$ -equivariant modules over a Hopf module category ${\mathcal{C}}$ as modules over the smash extension ${\mathcal{C}}\#H$ . We construct Grothendieck spectral sequences for the cohomologies as well as the $H$ -locally finite cohomologies of these objects. We also introduce relative $({\mathcal{D}},H)$ -Hopf modules over a Hopf comodule category ${\mathcal{D}}$

    更新日期:2019-08-06
  • On the Combinatorics of Gentle Algebras
    Can. J. Math. (IF 0.881) Pub Date : 2019-07-29
    Thomas Brüstle; Guillaume Douville; Kaveh Mousavand; Hugh Thomas; Emine Yıldırım

    For $A$ a gentle algebra, and $X$ and $Y$ string modules, we construct a combinatorial basis for $\operatorname{Hom}(X,\unicode[STIX]{x1D70F}Y)$ . We use this to describe support $\unicode[STIX]{x1D70F}$ -tilting modules for $A$ . We give a combinatorial realization of maps in both directions realizing the bijection between support $\unicode[STIX]{x1D70F}$ -tilting modules and functorially finite torsion

    更新日期:2019-07-29
  • Bounded Depth Ascending HNN Extensions and $\unicode[STIX]{x1D70B}_{1}$ -Semistability at infinity
    Can. J. Math. (IF 0.881) Pub Date : 2019-07-22
    Michael L. Mihalik

    A well-known conjecture is that all finitely presented groups have semistable fundamental groups at infinity. A class of groups whose members have not been shown to be semistable at infinity is the class ${\mathcal{A}}$ of finitely presented groups that are ascending HNN-extensions with finitely generated base. The class ${\mathcal{A}}$ naturally partitions into two non-empty subclasses, those that

    更新日期:2019-07-22
  • A Measurable Selector in Kadison’s Carpenter’s Theorem
    Can. J. Math. (IF 0.881) Pub Date : 2019-07-16
    Marcin Bownik; Marcin Szyszkowski

    We show the existence of a measurable selector in Carpenter’s Theorem due to Kadison. This solves a problem posed by Jasper and the first author in an earlier work. As an application we obtain a characterization of all possible spectral functions of shift-invariant subspaces of $L^{2}(\mathbb{R}^{d})$ and Carpenter’s Theorem for type $\text{I}_{\infty }$ von Neumann algebras.

    更新日期:2019-07-16
  • Free Group Algebras in Division Rings with Valuation II
    Can. J. Math. (IF 0.881) Pub Date : 2019-07-05
    Javier Sánchez

    We apply the filtered and graded methods developed in earlier works to find (noncommutative) free group algebras in division rings.

    更新日期:2019-07-05
  • Green Function and Self-adjoint Laplacians on Polyhedral Surfaces
    Can. J. Math. (IF 0.881) Pub Date : 2019-07-02
    Alexey Kokotov; Kelvin Lagota

    Using Roelcke’s formula for the Green function, we explicitly construct a basis in the kernel of the adjoint Laplacian on a compact polyhedral surface $X$ and compute the $S$ -matrix of $X$ at the zero value of the spectral parameter. We apply these results to study various self-adjoint extensions of a symmetric Laplacian on a compact polyhedral surface of genus two with a single conical point. It

    更新日期:2019-07-02
  • Non-cocompact Group Actions and $\unicode[STIX]{x1D70B}_{1}$ -Semistability at Infinity
    Can. J. Math. (IF 0.881) Pub Date : 2019-06-26
    Ross Geoghegan; Craig Guilbault; Michael Mihalik

    A finitely presented 1-ended group $G$ has semistable fundamental group at infinity if $G$ acts geometrically on a simply connected and locally compact ANR $Y$ having the property that any two proper rays in $Y$ are properly homotopic. This property of $Y$ captures a notion of connectivity at infinity stronger than “1-ended”, and is in fact a feature of $G$ , being independent of choices. It is a fundamental

    更新日期:2019-06-26
  • Peter–Weyl Iwahori Algebras
    Can. J. Math. (IF 0.881) Pub Date : 2019-06-21
    Dan Barbasch; Allen Moy

    The Peter–Weyl idempotent $e_{\mathscr{P}}$ of a parahoric subgroup $\mathscr{P}$ is the sum of the idempotents of irreducible representations of $\mathscr{P}$ that have a nonzero Iwahori fixed vector. The convolution algebra associated with $e_{\mathscr{P}}$ is called a Peter–Weyl Iwahori algebra. We show that any Peter–Weyl Iwahori algebra is Morita equivalent to the Iwahori–Hecke algebra. Both the

    更新日期:2019-06-21
  • The Classification of 7- and 8-dimensional Naturally Reductive Spaces
    Can. J. Math. (IF 0.881) Pub Date : 2019-05-30
    Reinier Storm

    A new method for classifying naturally reductive spaces is presented. This method relies on a new construction and the structure theory of naturally reductive spaces recently developed by the author. This method is applied to obtain the classification of all naturally reductive spaces in dimension 7 and 8.

    更新日期:2019-05-30
  • Corrigendum to: A Galois Correspondence for Reduced Crossed Products of Simple $\text{C}^{\ast }$ -algebras by Discrete Groups
    Can. J. Math. (IF 0.881) Pub Date : 2019-05-30
    Jan Cameron; Roger R. Smith

    This note corrects an error in our paper “A Galois correspondence for reduced crossed products of unital simple $\text{C}^{\ast }$ -algebras by discrete groups”, http://dx.doi.org/10.4153/CJM-2018-014-6. The main results of the original paper are unchanged.

    更新日期:2019-05-30
  • Slice-torus Concordance Invariants and Whitehead Doubles of Links
    Can. J. Math. (IF 0.881) Pub Date : 2019-05-22
    Alberto Cavallo; Carlo Collari

    In this paper we extend the definition of slice-torus invariant to links. We prove a few properties of the newly-defined slice-torus link invariants: the behaviour under crossing change, a slice genus bound, an obstruction to strong sliceness, and a combinatorial bound. Furthermore, we provide an application to the computation of the splitting number. Finally, we use the slice-torus link invariants

    更新日期:2019-05-22
  • Simultaneous Upper Triangular Forms for Commuting Operators in a Finite von Neumann Algebra
    Can. J. Math. (IF 0.881) Pub Date : 2019-05-15
    Ian Charlesworth; Ken Dykema; Fedor Sukochev; Dmitriy Zanin

    The joint Brown measure and joint Haagerup–Schultz projections for tuples of commuting operators in a von Neumann algebra equipped with a faithful tracial state are investigated, and several natural properties are proved for these. It is shown that the support of the joint Brown measure is contained in the Taylor joint spectrum of the tuple, and also in the ostensibly smaller left Harte spectrum. A

    更新日期:2019-05-15
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