Ergodic decomposition for measures quasi-invariant under a Borel action of an inductively compact group

DOI10.1070/SM2014v205n02ABEH004371zbMath1302.37004arXiv1105.0664MaRDI QIDQ3191401

Alexander I. Bufetov

Publication date: 2 October 2014

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0664

zbMATH Keywords

quasi-invariant measureergodic decompositioninfinite-dimensional unitary groupBorel spaceinfinite-dimensional groupsmeasurable decomposition

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)

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Infinite 𝑝-adic random matrices and ergodic decomposition of 𝑝-adic Hua measures ⋮ Ergodic decomposition of group actions on rooted trees ⋮ Hua-Pickrell diffusions and Feller processes on the boundary of the graph of spectra ⋮ Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields ⋮ Ergodic measures on compact metric spaces for isometric actions by inductively compact groups ⋮ Ergodic decomposition of Dirichlet forms via direct integrals and applications ⋮ Unnamed Item ⋮ Infinite random matrices \& ergodic decomposition of finite and infinite Hua-Pickrell measures ⋮ Ergodic measures on infinite skew-symmetric matrices over non-Archimedean local fields ⋮ The ergodic decomposition defined by actions of amenable groups

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