On characterizations of amenable C*-dynamical systems and new examples

被引：0

作者：

Ozawa, Narutaka ^{[1
]}

Suzuki, Yuhei ^{[2
]}

机构：

[1] Kyoto Univ, RIMS, Kyoto 6068502, Japan

[2] Hokkaido Univ, Fac Sci, Dept Math, Kita Ku, Kita 10,Nishi 8, Sapporo, Hokkaido 0600810, Japan

来源：

SELECTA MATHEMATICA-NEW SERIES | 2021年 / 27卷 / 05期

关键词：

C*-dynamical systems; Non-commutative amenable actions; BAUM-CONNES CONJECTURE; CROSSED-PRODUCTS; KK-THEORY; AMENABILITY; EXACTNESS; ALGEBRAS; PROPERTY;

D O I：

10.1007/s00029-021-00699-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show the equivalence of several amenability type conditions for C*-dynamical systems. As an application, based on the Pimsner-Meyer construction, we give a new method to produce amenable actions on simple C*-algebras.

引用

页数：29

共 54 条

[1]

Abadie F., B BRAZ MATH SOC NS, V2021

[2] Amenability and exactness for dynamical systems and their C*-algebras [J].