Rigidity of the measurable structure for algebraic actions of higher-rank Abelian groups

被引：14

作者：

Kalinin, B ^{[1
]}

Spatzier, R

机构：

[1] Univ S Alabama, Mobile, AL 36688 USA

[2] Univ Michigan, Ann Arbor, MI 48109 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2005年 / 25卷

关键词：

D O I：

10.1017/S014338570400046X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate rigidity of measurable structure for higher-rank Abelian algebraic actions. In particular, we show that ergodic measures for these actions fiber over a zero entropy measure with Haar measures along the leaves. We deduce various rigidity theorems for isomorphisms and joinings as corollaries.

引用

页码：175 / 200

页数：26

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