EXTENSIONS OF GENERIC MEASURE-PRESERVING ACTIONS

被引：1

作者：

Melleray, Julien ^{[1
]}

机构：

[1] Univ Lyon, CNRS, Inst Camille Jordan, UMR 5208, F-69622 Villeurbanne, France

来源：

ANNALES DE L INSTITUT FOURIER | 2014年 / 64卷 / 02期

关键词：

Measure-preserving action; Baire category; Polish group; TRANSFORMATIONS;

D O I：

10.5802/aif.2859

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that, whenever Gamma is a countable abelian group and Delta is a finitely-generated subgroup of Gamma, a generic measure-preserving action of Delta on a standard atomless probability space (X, mu) extends to a free measure-preserving action of Gamma on (X, mu). This extends a result of Ageev, corresponding to the case when Delta is infinite cyclic.

引用

页码：607 / 623

页数：17

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