MIXING ACTIONS OF ZERO ENTROPY FOR COUNTABLE AMENABLE GROUPS

被引：0

作者：

Danilenko, Alexandre I. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, B Verkin Inst Low Temp Phys & Engn, Prospekt Nauky 47, UA-61164 Kharkov, Ukraine

来源：

COLLOQUIUM MATHEMATICUM | 2016年 / 145卷 / 02期

关键词：

amenable group; mixing action; entropy; Poisson suspension; RANK-ONE ACTIONS; POISSON SUSPENSIONS; ERGODIC-THEORY; TRANSFORMATIONS;

D O I：

10.4064/cm6776-1-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that each discrete countable infinite amenable group admits a 0-entropy mixing free action on a standard probability space.

引用

页码：179 / 186

页数：8

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