Weak isomorphisms between Bernoulli shifts

DOI10.1007/s11856-011-0043-3zbMath1253.37008arXiv0812.2718OpenAlexW2090965962MaRDI QIDQ636022

Lewis Phylip Bowen

Publication date: 25 August 2011

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2718

zbMATH Keywords

non-amenable group actionOrnstein theoryweak isomorphism

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (20)

The geometry of model spaces for probability-preserving actions of sofic groups ⋮ Finite entropy actions of free groups, rigidity of stabilizers, and a Howe-Moore type phenomenon ⋮ Commentary on “Ergodic theory of amenable group actions”: Old and new ⋮ Sofic measure entropy via finite partitions ⋮ Sofic entropy of Gaussian actions ⋮ Measurable chromatic and independence numbers for ergodic graphs and group actions ⋮ Isomorphisms of Poisson systems over locally compact groups ⋮ Bernoulli actions of sofic groups have completely positive entropy ⋮ Every action of a nonamenable group is the factor of a small action ⋮ Bernoulli actions and infinite entropy ⋮ A subgroup formula for f-invariant entropy ⋮ Finitary random interlacements and the Gaboriau-Lyons problem ⋮ An antibasis result for graphs of infinite Borel chromatic number ⋮ Measure conjugacy invariants for actions of countable sofic groups ⋮ A determinacy approach to Borel combinatorics ⋮ The work of Lewis Bowen on the entropy theory of non-amenable group actions ⋮ Cost, \(\ell^2\)-Betti numbers and the sofic entropy of some algebraic actions ⋮ Examples in the entropy theory of countable group actions ⋮ Measurable versions of the Lovász local lemma and measurable graph colorings ⋮ Entropy and actions of sofic groups

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• Non-Bernoulli systems with completely positive entropy
• Factors of independent and identically distributed processes with non-amenable group actions
• Examples of groups that are measure equivalent to the free group

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