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.
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页码：687 / 697
页数：11
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