On Popa's Cocycle Superrigidity Theorem

被引：21

作者：

Furman, Alex ^{[1
]}

机构：

[1] Univ Illinois, Chicago, IL 60607 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2007年 / 2007卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1093/imrn/rnm073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

These notes contain an Ergodic-theoretic account of the Cocycle Superrigidity Theorem recently discovered by Sorin Popa. We state and prove a relative version of the result, discuss some applications to measurable equivalence relations, and point out that Gaussian actions (of "rigid" groups) satisfy the assumptions of Popa's theorem.

引用

页数：46

共 38 条

[1]

Cherix P-A, 2001, PROGR MATH, V197

[2] PROPERTY-T AND ASYMPTOTICALLY INVARIANT SEQUENCES [J].