Bernoulli actions of sofic groups have completely positive entropy

被引：18
|
作者：
Kerr, David [1 ]
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2014年 / 202卷 / 01期
基金：
美国国家科学基金会;
关键词：
AMENABLE GROUP-ACTIONS; MALLEABLE ACTIONS; SUPERRIGIDITY; CONSTRUCTION;
D O I：
10.1007/s11856-014-1077-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that every Bernoulli action of a sofic group has completely positive entropy with respect to every sofic approximation net. We also prove that every Bernoulli action of a finitely generated free group has the property that each of its nontrivial factors with a finite generating partition has positive f-invariant.
引用
收藏
页码：461 / 474
页数：14
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