Strongly ergodic equivalence relations: spectral gap and type III invariants

DOI10.1017/etds.2017.108zbMath1417.37047arXiv1704.07326OpenAlexW2963059906MaRDI QIDQ4968746

Amine Marrakchi, Cyril Houdayer, Peter Verraedt

Publication date: 9 July 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07326

zbMATH Keywords

ergodic equivalence relationmeasure spacesMaharam extension

Mathematics Subject Classification ID

Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15) Measurable group actions (22F10)

Related Items (8)

Asymptotic expansion in measure and strong ergodicity ⋮ A Markovian and Roe-algebraic approach to asymptotic expansion in measure ⋮ Bernoulli actions of type \(\mathrm{III}_{1}\) and \(L^2\)-cohomology ⋮ Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras ⋮ Nonsingular Gaussian actions: beyond the mixing case ⋮ Nonsingular Bernoulli actions of arbitrary Krieger type ⋮ Stability of products of equivalence relations ⋮ Strongly ergodic equivalence relations: spectral gap and type III invariants – CORRIGENDUM

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