Popa superrigidity and countable Borel equivalence relations

DOI10.1016/j.apal.2007.08.003zbMath1162.03029OpenAlexW4210814776MaRDI QIDQ1012329

Simon Thomas

Publication date: 16 April 2009

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2007.08.003

zbMATH Keywords

Borel equivalence relationsuperrigiditytorsion-free abelian groupcountable universal equivalence relation

Mathematics Subject Classification ID

Descriptive set theory (03E15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15) Torsion-free groups, finite rank (20K15)

Related Items (9)

Equivalence of generics ⋮ The classification problem for simple unital finite rank dimension groups ⋮ Quotients by countable normal subgroups are hyperfinite ⋮ Universal Borel actions of countable groups ⋮ Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups ⋮ Modular actions and amenable representations ⋮ Martin's conjecture and strong ergodicity ⋮ Continuous versus Borel reductions ⋮ Uniformity, universality, and computability theory

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