On Popa's Cocycle Superrigidity Theorem

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

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Dynamical Systems, Operator Algebras, 37A20

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http://salesiana.dossiersoluciones.com/handle/123456789/115424

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608364
 http://arxiv.org/abs/math/0608364

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arXiv