On extension of cocycles to normalizer elements, outer conjugacy, and related problems

DOI10.1090/S0002-9947-96-01753-9zbMath0862.46040OpenAlexW1641317992MaRDI QIDQ5690955

Alexandre I. Danilenko, Valentin Ya. Golodets

Publication date: 9 January 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01753-9

zbMATH Keywords

Lebesgue spacecocycleergodic dynamical systemPolish groupouter conjugacyergodic automorphismAbelian locally compact group

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General groups of measure-preserving transformations (28D15) Measure-theoretic ergodic theory (28D99)

Cites Work

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• Groups of measure space transformations and invariants of outer conjugation for automorphisms from normalizers of type III full groups
• Topologies on measured groupoids
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• The normalizer group of an ergodic automorphism of type III and the commutant of an ergodic flow
• Weak equivalence and the structures of cocycles of an ergodic automorphism
• On ergodic flows and the isomorphism of factors
• Extensions of ergodic group actions
• Measure space automorphisms, the normalizers of their full groups, and approximate finiteness
• Orbit structure and countable sections for actions of continuous groups
• Classification and structure of cocycles of amenable ergodic equivalence relations
• Ergodic theory and virtual groups
• Virtual groups and group actions
• Subrelations of ergodic equivalence relations
• An amenable equivalence relation is generated by a single transformation
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I

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