On Popa's Cocycle Superrigidity Theorem

Details On Popa's Cocycle Superrigidity Theorem On Popa's Cocycle Superrigidity Theorem

2006-08-14

arxiv.org/abs/math/0608364v2

Mathematics

Dynamical Systems

v.2: slight changes in the presentation, (some) typos corrected, wq-normal subgroups added. 35 pages

Scientific paper

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.

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