On Popa's Cocycle Superrigidity Theorem
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2007-05-23 v2 算子代数
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.
关键词
引用
@article{arxiv.math/0608364,
title = {On Popa's Cocycle Superrigidity Theorem},
author = {Alex Furman},
journal= {arXiv preprint arXiv:math/0608364},
year = {2007}
}
备注
v.2: slight changes in the presentation, (some) typos corrected, wq-normal subgroups added. 35 pages