Nonsingular Bernoulli actions of arbitrary Krieger type

DOI10.2140/apde.2022.15.1313OpenAlexW4302008434MaRDI QIDQ2081327

Stefaan Vaes, Tey Berendschot

Publication date: 12 October 2022

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06309

zbMATH Keywords

Krieger typenonsingular Bernoulli actionnonsingular ergodic theorytype-III action

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15) Nonsingular (and infinite-measure preserving) transformations (37A40) Classification of factors (46L36)

Related Items (4)

Krieger’s type for ergodic non-singular Poisson actions of non-(T) locally compact groups ⋮ Phase transitions for non-singular Bernoulli actions ⋮ The orbital equivalence of Bernoulli actions and their Sinai factors ⋮ Krieger’s type of nonsingular Poisson suspensions and IDPFT systems

Cites Work

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• On the zero-one law for exchangeable events
• Bi-exact groups, strongly ergodic actions and group measure space type III factors with no central sequence
• Bernoulli actions of type \(\mathrm{III}_{1}\) and \(L^2\)-cohomology
• Hyperfinite von Neumann algebras and Poisson boundaries of time dependent random walks
• On the \(K\) property for Maharam extensions of Bernoulli shifts and a question of Krengel
• The orbital equivalence of Bernoulli actions and their Sinai factors
• Ergodicity and type of nonsingular Bernoulli actions
• Ergodic theory of affine isometric actions on Hilbert spaces
• Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups
• Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I
• On a type III₁Bernoulli shift
• On a Bernoulli shift with non-identical factor measures
• Strongly ergodic equivalence relations: spectral gap and type III invariants
• Proving ergodicity via divergence of time averages
• Weak mixing for nonsingular Bernoulli actions of countable amenable groups
• K-property for Maharam extensions of non-singular Bernoulli and Markov shifts
• On a class of KMS states for the unitary group \(U(\infty)\)

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