An uncountable Mackey–Zimmer theorem

DOI10.4064/sm201125-1-5zbMath1506.37002arXiv2010.00574OpenAlexW3091648749MaRDI QIDQ5094165

Asgar Jamneshan, Terence C. Tao

Publication date: 2 August 2022

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00574

zbMATH Keywords

Mackey theoryuncountable ergodic theoryergodic group extensionsMackey-Zimmer theorempoint-free measure theory

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (6)

Foundational aspects of uncountable measure theory: Gelfand duality, Riesz representation, canonical models, and canonical disintegration ⋮ An uncountable ergodic Roth theorem and applications ⋮ A Halmos-von Neumann theorem for actions of general groups ⋮ A category-theoretic proof of the ergodic decomposition theorem ⋮ An uncountable Furstenberg–Zimmer structure theory ⋮ Distal systems in topological dynamics and ergodic theory

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