Superrigidity, measure equivalence, and weak Pinsker entropy

DOI10.4171/GGD/647zbMath1503.37011arXiv1805.03552MaRDI QIDQ2141712

Robin D. Tucker-Drob, Lewis Phylip Bowen

Publication date: 25 May 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03552

zbMATH Keywords

Bernoulli shiftsorbit equivalenceentropy theorycocycle superrigidityweak Pinsker

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (2)

Cocycle superrigidity for profinite actions of irreducible lattices ⋮ Continuous orbit equivalence rigidity for left-right wreath product actions

Cites Work

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• An inner amenable group whose von Neumann algebra does not have property Gamma
• Entropy and the variational principle for actions of sofic groups
• \(L^{2}\)-rigidity in von Neumann algebras
• On the stability of the weak Pinsker property
• Von Neumann's problem and extensions of non-amenable equivalence relations
• Krieger's finite generator theorem for actions of countable groups. I.
• Measure concentration and the weak Pinsker property
• On the virtual groups defined by ergodic actions of R\(^n\) and \(Z^n\)
• \(\ell^2\) invariants of equivalence relations and groups
• Finitary random interlacements and the Gaboriau-Lyons problem
• Invariant means and the structure of inner amenable groups
• Krieger's finite generator theorem for actions of countable groups. II
• Stability in orbit equivalence for Baumslag-Solitar groups and Vaes groups
• Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups
• Bernoulli shifts with the same entropy are isomorphic
• On cocycle superrigidity for Gaussian actions
• Every countably infinite group is almost Ornstein
• A survey of Measured Group Theory
• On the superrigidity of malleable actions with spectral gap
• Measure conjugacy invariants for actions of countable sofic groups
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• Examples in the entropy theory of countable group actions
• Sofic homological invariants and the Weak Pinsker Property
• A BRIEF INTRODUCTION TO SOFIC ENTROPY THEORY
• Positive entropy actions of countable groups factor onto Bernoulli shifts
• 𝐿²-Betti numbers of locally compact groups and their cross section equivalence relations
• On Popa's Cocycle Superrigidity Theorem
• Lattices in product of trees

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