Bernoulli actions of sofic groups have completely positive entropy

被引：0

作者：

David Kerr

机构：

[1] Texas A&M University,David Kerr, Department of Mathematics

来源：

Israel Journal of Mathematics | 2014年 / 202卷

关键词：

Shannon Entropy; Measure Entropy; Positive Entropy; Bernoulli Shift; Generate Partition;

D O I：

暂无

中图分类号：

学科分类号：

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：13

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