当前位置:
X-MOL 学术
›
Bull. Aust. Math. Soc.
›
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.)
CENTRAL SEQUENCES IN SUBHOMOGENEOUS UNITAL C*-ALGEBRAS
Bulletin of the Australian Mathematical Society ( IF 0.7 ) Pub Date : 2020-10-02 , DOI: 10.1017/s0004972720000684 DON HADWIN , HEMANT PENDHARKAR
Bulletin of the Australian Mathematical Society ( IF 0.7 ) Pub Date : 2020-10-02 , DOI: 10.1017/s0004972720000684 DON HADWIN , HEMANT PENDHARKAR
Suppose that $\mathcal {A}$ is a unital subhomogeneous C*-algebra. We show that every central sequence in $\mathcal {A}$ is hypercentral if and only if every pointwise limit of a sequence of irreducible representations is multiplicity free. We also show that every central sequence in $\mathcal {A}$ is trivial if and only if every pointwise limit of irreducible representations is irreducible. Finally, we give a nice representation of the latter algebras.
中文翻译:
次齐次单位 C*-代数中的中心序列
假设$\数学{A}$ 是单位次齐次 C*-代数。我们证明了每个中心序列$\数学{A}$ 是超中心的当且仅当不可约表示序列的每个逐点限制都是无多重性的。我们还证明了每个中心序列$\数学{A}$ 当且仅当不可约表示的每个逐点极限都是不可约的时,它是微不足道的。最后,我们给出了后者代数的一个很好的表示。
更新日期:2020-10-02
中文翻译:
次齐次单位 C*-代数中的中心序列
假设