Groups of measure space transformations and invariants of outer conjugation for automorphisms from normalizers of type III full groups

DOI10.1016/0022-1236(85)90044-8zbMath0557.28018OpenAlexW1963624224MaRDI QIDQ762298

Sergey Bezuglyi, Valentin Ya. Golodets

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90044-8

zbMATH Keywords

centralizerautomorphismsnormalizeramenabilitysurjective homomorphismactions of countable amenable groupsnecessary and sufficient conditions of outer conjugation ofnecessary and sufficient conditions of outer conjugation of automorphismsnormalizer of an approximated type III automorphism groupouter periodstandard representationtype of an automorphism

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Classifications of (C^*)-algebras (46L35)

Related Items

Admissible subgroups of full ergodic groups ⋮ Outer conjugacy for actions of continuous amenable groups ⋮ The topological structure of Polish groups and groupoids of measure space transformations ⋮ Classification of regular subalgebras of injective type III factors ⋮ Subrelations of ergodic equivalence relations ⋮ On extension of cocycles to normalizer elements, outer conjugacy, and related problems

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