The normalizer group of an ergodic automorphism of type III and the commutant of an ergodic flow

DOI10.1016/0022-1236(81)90055-0zbMath0483.46045OpenAlexW1977056789MaRDI QIDQ1163208

Toshihiro Hamachi

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90055-0

zbMATH Keywords

ergodic flowergodic automorphism of type IIIKrieger's construction

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items

Crossed products by groupoid actions and their smooth flows of weights ⋮ Classification of actions of discrete Kac algebras on injective factors ⋮ Suborbits and group extensions of flows ⋮ The topological structure of Polish groups and groupoids of measure space transformations ⋮ Inclusion of type III factors constructed from ergodic flows ⋮ Centralizer of an ergodic measure preserving transformation ⋮ On extension of cocycles to normalizer elements, outer conjugacy, and related problems ⋮ Approximate innerness and central triviality of endomorphisms ⋮ Groups of measure space transformations and invariants of outer conjugation for automorphisms from normalizers of type III full groups ⋮ Antiautomorphismes involutifs des facteurs de von Neumann injectifs. II ⋮ Krieger factors isomorphic to their tensor square and pure point spectrum flows

Cites Work

• On ergodic flows and the isomorphism of factors
• Measure space automorphisms, the normalizers of their full groups, and approximate finiteness
• The flow of weights on factors of type III
• Operator methods in classical mechanics. II
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