Hilbert C*-modules and amenable actions

被引：3

作者：

Douglas, Ronald G. ^{[1
]}

Nowak, Piotr W. ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

STUDIA MATHEMATICA | 2010年 / 199卷 / 02期

关键词：

amenable action; quasi-invariant probability measure; Haagerup property; amenability; DISCRETE-GROUPS; NOVIKOV-CONJECTURE; EXACTNESS; SPACE;

D O I：

10.4064/sm199-2-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study actions of discrete groups on Hilbert C*-modules induced from topological actions on compact Hausdorff spaces. We show non-amenability of actions of non-amenable and non-a-T-menable groups, provided there exists a quasi-invariant probability measure which is sufficiently close to being invariant.

引用

页码：185 / 197

页数：13

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