正规子群的相对C * -简洁性和特征

IF 0.7 4区数学 Q2 MATHEMATICS Journal of Operator Theory Pub Date : 2019-10-29 DOI:10.7900/jot.2020oct26.2293

D. Ursu

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引用次数: 9

摘要

Amrutam最近提出了丰满子群的概念。这是Powers平均性质的相对化版本，并且已知Powers的平均性质等价于C*-简单性。考虑到这一点，我们引入了C*-简单性的相对化概念，并证明了对于正规子群，它等价于充实性，以及其他几个特征。

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Relative C∗-simplicity and characterizations for normal subgroups

The notion of a plump subgroup was recently introduced by Amrutam. This is a relativized version of Powers' averaging property, and it is known that Powers' averaging property is equivalent to C∗-simplicity. With this in mind, we introduce a relativized notion of C∗-simplicity, and show that for normal subgroups it is equivalent to plumpness, along with several other characterizations.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.

期刊最新文献

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