Stationary C-dynamical systems

来源 :算子代数和调和分析2017年研讨会 (Workshop on Operator Algebras and Harmoni | 被引量 : 0次 | 上传用户：zixian007

【摘要】

：

　　We introduce the notion of stationary actions in the context of C*-algebras.As an application,we obtain new characterizations of C*-simplicity,in terms of u

【作者】

：

Mehrdad Kalantar

【机构】

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UniversityofHouston,USA

【出处】

：

算子代数和调和分析2017年研讨会 (Workshop on Operator Algebras and Harmoni

【发表日期】

：

2017年12期

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论文部分内容阅读

　　We introduce the notion of stationary actions in the context of C*-algebras.As an application,we obtain new characterizations of C*-simplicity,in terms of unique stationarity.By that we single out certain random walks that capture C*-simplicity,and we prove some rigidity properties for these measures.In addition,using our techniques,we prove several superrigidity results for discrete groups relative to co-amenable sub-groups.This is joint work with Yair Hartman.

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Stationary C-dynamical systems

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