Suborbits and group extensions of flows

DOI10.1007/BF02773643zbMath0880.46046MaRDI QIDQ1366953

Toshihiro Hamachi

Publication date: 7 January 1998

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

zbMATH Keywords

amenable and type \(\text{III}_ 0\) relationsclassification of the inclusion up to orbit equivalenceergodic measured discrete equivalence relationKrieger's theoremsubrelation of finite indextype III inclusions

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items (1)

Orbit equivalence of \(p\)-adic transformations and their iterates

Cites Work

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• Inclusion of type III factors constructed from ergodic flows
• The normalizer group of an ergodic automorphism of type III and the commutant of an ergodic flow
• On ergodic flows and the isomorphism of factors
• Extensions of ergodic group actions
• Two nonisomorphic K-automorphisms with isomorphic squares
• Counting the relatively finite factors of a Bernoulli shift
• Non-splitting inclusions of factors of type III\(_ 0\)
• Index for subfactors
• On Groups of Measure Preserving Transformations. I
• Subrelations of ergodic equivalence relations
• The classification of non-singular actions, revisited
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I

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