Furman, Alex On Popa’s cocycle superrigidity theorem. (English) Zbl 1134.46043 Int. Math. Res. Not. 2007, No. 19, Article ID rnm073, 46 p. (2007). Summary: These notes contain an ergodic-theoretic account of the cocycle superrigidity theorem recently discovered by Sorin Popa [cf. S. Popa, Invent. Math. 170, No. 2, 243–295 (2007; Zbl 1131.46040)]. 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. Cited in 21 Documents MSC: 46L55 Noncommutative dynamical systems 37A20 Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations 46L35 Classifications of \(C^*\)-algebras 22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations Citations:Zbl 1131.46040 PDF BibTeX XML Cite \textit{A. Furman}, Int. Math. Res. Not. 2007, No. 19, Article ID rnm073, 46 p. (2007; Zbl 1134.46043) Full Text: DOI arXiv OpenURL