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

页码：461 / 474

页数：14

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