当前位置:
X-MOL 学术
›
J. Topol. Anal.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Commutativity of the Haagerup tensor product and base change for operator modules
Journal of Topology and Analysis ( IF 0.8 ) Pub Date : 2021-11-15 , DOI: 10.1142/s179352532150062x Tyrone Crisp 1
中文翻译:
Haagerup 张量积的交换性和算子模块的基础变化
更新日期:2021-11-15
Journal of Topology and Analysis ( IF 0.8 ) Pub Date : 2021-11-15 , DOI: 10.1142/s179352532150062x Tyrone Crisp 1
Affiliation
By computing the completely bounded norm of the flip map on the Haagerup tensor product associated to a pair of continuous mappings of locally compact Hausdorff spaces , we establish a simple characterization of the Beck-Chevalley condition for base change of operator modules over commutative -algebras, and a descent theorem for continuous fields of Hilbert spaces.
中文翻译:
Haagerup 张量积的交换性和算子模块的基础变化
通过计算 Haagerup 张量积上翻转图的完全有界范数与局部紧豪斯多夫空间的一对连续映射相关,我们建立了 Beck-Chevalley 条件的简单表征,用于交换算子模的基数变化-代数,以及希尔伯特空间连续域的下降定理。