An uncountable Furstenberg–Zimmer structure theory

DOI10.1017/ETDS.2022.43arXiv2103.17167OpenAlexW3150594803WikidataQ114118568 ScholiaQ114118568MaRDI QIDQ6106097

Asgar Jamneshan

Publication date: 27 June 2023

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

Full work available at URL: https://arxiv.org/abs/2103.17167

zbMATH Keywords

ergodic theorystructure theorymeasure-preserving systems

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Categorical logic, topoi (03G30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (4)

An uncountable Mackey–Zimmer theorem ⋮ A Halmos-von Neumann theorem for actions of general groups ⋮ A category-theoretic proof of the ergodic decomposition theorem ⋮ Quasinormalizers in crossed products of von Neumann algebras

Cites Work

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• The automorphism group of the Gaussian measure cannot act pointwise
• Separation and duality in locally \(L^0\)-convex modules
• Extensions of ergodic group actions
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Ergodic actions with generalized discrete spectrum
• A new proof of Szemerédi's theorem for arithmetic progressions of length four
• Measures and integrals in conditional set theory
• A Boolean action of \(C(M, U(1))\) without a spatial model and a re-examination of the Cameron-Martin theorem
• Nonconventional ergodic averages and nilmanifolds
• Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups
• Ergodic transformation groups with a pure point spectrum
• Operator methods in classical mechanics. II
• Conditional Analysis on $$\mathbb {R}^d$$
• Extensions of probability-preserving systems by measurably-varying homogeneous spaces and applications
• Universal characteristic factors and Furstenberg averages
• Topological dynamics and ergodic theory
• On sets of integers containing k elements in arithmetic progression
• A Roth theorem for amenable groups.
• The complexity of the collection of measure-distal transformations
• An uncountable Mackey–Zimmer theorem
• Operator Theoretic Aspects of Ergodic Theory
• On A Theorem of Dieudonné
• Equivalences of Measure Spaces
• Ergodic Theory
• An inverse theorem for the Gowers \(U^{s+1}[N\)-norm]
• A new proof of Szemerédi's theorem
• The algebra of conditional sets and the concepts of conditional topology and compactness
• An uncountable Moore–Schmidt theorem

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