Stable orbit equivalence of Bernoulli shifts over free groups

DOI10.4171/GGD/115zbMath1259.37002arXiv0907.4625MaRDI QIDQ646373

Lewis Phylip Bowen

Publication date: 17 November 2011

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

Full work available at URL: https://arxiv.org/abs/0907.4625

zbMATH Keywords

free groupsBernoulli shiftsstable orbit equivalence

Mathematics Subject Classification ID

Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (10)

Orbit equivalence rigidity of irreducible actions of right-angled Artin groups ⋮ A class of superrigid group von Neumann algebras ⋮ Stable orbit equivalence of Bernoulli actions of free groups and isomorphism of some of their factor actions ⋮ A descriptive view of unitary group representations ⋮ Orbit equivalence and Borel reducibility rigidity for profinite actions with spectral gap ⋮ Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups ⋮ Representing interpolated free group factors as group factors ⋮ Entropy, Shannon orbit equivalence, and sparse connectivity ⋮ All properly ergodic Markov chains over a free group are orbit equivalent ⋮ W*-superrigidity for wreath products with groups having positive first ℓ²-Betti number

Cites Work

• Processes on unimodular random networks

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