On the \(K\) property for Maharam extensions of Bernoulli shifts and a question of Krengel

DOI10.1007/S11856-013-0069-9zbMath1301.37006arXiv1202.1788OpenAlexW1998750518MaRDI QIDQ2017125

Zemer Kosloff

Publication date: 25 June 2014

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

Full work available at URL: https://arxiv.org/abs/1202.1788

zbMATH Keywords

infinite measure-preserving transformationMaharam extensionKrieger classification

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants (28D20) Continuity and singularity of induced measures (60G30) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Measures and integrals in product spaces (28A35) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (12)

Symmetric stable processes on amenable groups ⋮ BERNOULLI ACTIONS OF TYPE III WITH PRESCRIBED ASSOCIATED FLOW ⋮ On manifolds admitting stable type \(\mathrm{III}_1\) Anosov diffeomorphisms ⋮ Bernoulli actions of type \(\mathrm{III}_{1}\) and \(L^2\)-cohomology ⋮ The orbital equivalence of Bernoulli actions and their Sinai factors ⋮ Ergodicity and type of nonsingular Bernoulli actions ⋮ Weak mixing for nonsingular Bernoulli actions of countable amenable groups ⋮ K-property for Maharam extensions of non-singular Bernoulli and Markov shifts ⋮ Nonsingular Bernoulli actions of arbitrary Krieger type ⋮ On absolutely continuous invariant measures and Krieger-type of Markov subshifts ⋮ Some factors of nonsingular Bernoulli shifts ⋮ Generic non-singular Poisson suspension is of type III₁

Cites Work

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• Exchangeable measures for subshifts
• Topics in orbit equivalence
• On equivalence of infinite product measures
• On a type III₁Bernoulli shift
• On a Bernoulli shift with non-identical factor measures
• A Skew Product Entropy for Nonsingular Transformations
• Pointwise ergodic theorems beyond amenable groups
• Ergodic and Spectral Analysis of Certain Infinite Measure Preserving Transformations

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