Amenable actions and almost invariant sets

被引：0

作者：

Kechris, Alexander S. ^{[1
]}

Tsankov, Todor ^{[1
]}

机构：

[1] CALTECH, Dept Math 253 37, Pasadena, CA 91125 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 02期

关键词：

generalized Bernoulli shifts; amenable actions; almost invariant sets; E-0-ergodicity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the connections between properties of the action of a countable group G on a countable set X and the ergodic theoretic properties of the corresponding generalized Bernoulli shift, i.e., the corresponding shift action of Gamma on M-X, where M is a measure space. In particular, we show that the action of Gamma on X is amenable iff the shift Gamma curved right arrow MX has almost invariant sets.

引用

页码：687 / 697

页数：11

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