Ioana's superrigidity theorem and orbit equivalence relations

DOI10.1155/2013/387540zbMath1338.37008arXiv1310.2359OpenAlexW3105883447WikidataQ58995258 ScholiaQ58995258MaRDI QIDQ2014902

Samuel Coskey

Publication date: 16 June 2014

Published in: ISRN Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.2359

Mathematics Subject Classification ID

Descriptive set theory (03E15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Cites Work

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• Cocycle superrigidity for profinite actions of property (T) groups
• The classification problem for \(S\)-local torsion-free abelian groups of finite rank
• Borel reductions of profinite actions of SL\(_n(\mathbb Z)\)
• Superrigidity and countable Borel equivalence relations
• Orbit equivalence rigidity
• Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups
• Orbit equivalence rigidity and bounded cohomology
• Orbit equivalence rigidity for ergodic actions of the mapping class group
• The classification problem for torsion-free abelian groups of finite rank
• The classification of torsion-free abelian groups of finite rank up to isomorphism and up to quasi-isomorphism
• On Popa's Cocycle Superrigidity Theorem

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