The Rohlin tower theorem and hyperfiniteness for actions of continuous groups

DOI10.1007/BF02760832zbMath0398.22013OpenAlexW2317018875MaRDI QIDQ1254397

Caroline Series

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1007/bf02760832

zbMATH Keywords

G-ActionR-GroupRohlin Tower Theorem

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (6)

Foliations of polynomial growth are hyperfinite ⋮ The homogeneous spectrum problem in ergodic theory ⋮ Orbit structure and countable sections for actions of continuous groups ⋮ Induced and amenable ergodic actions of Lie groups ⋮ Secondary LS category of measured laminations ⋮ An amenable equivalence relation is generated by a single transformation

Cites Work

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• Measure space automorphisms, the normalizers of their full groups, and approximate finiteness
• Point realizations of transformation groups
• Bernoulli shifts with the same entropy are isomorphic
• Ergodic transformation groups with a pure point spectrum
• Borel Structure in Groups and Their Duals
• On Groups of Measure Preserving Transformations. I
• On non-singular transformations of a measure space. I
• On Groups of Measure Preserving Transformations. II
• Erratum to "On Entropy and Generators of Measure-Preserving Transformations"

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