A Galois correspondence in a von Neumann algebra

DOI10.2748/tmj/1178229909zbMath0398.46052OpenAlexW2058136348MaRDI QIDQ1254517

Hisashi Choda

Publication date: 1978

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229909

zbMATH Keywords

ErgodicCrossed ProductVon Neumann AlgebraFaithful Normal ExpectationCountable Discrete GroupFixed Point AlgebraFreely Acting AutomorphismsGalois Correspondence

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (16)

Bimodules in crossed products of von Neumann algebras ⋮ Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras ⋮ Subalgebras, subgroups, and singularity ⋮ Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces ⋮ Non-existence of a normal conditional expectation in a continuous crossed product ⋮ Maximal von Neumann subalgebras arising from maximal subgroups ⋮ A Galois Type Theorem in von Neumann Algebras ⋮ SEMI-REGULAR MASAS OF TRANSFINITE LENGTH ⋮ A Galois Correspondence for Reduced Crossed Products of Simple -algebras by Discrete Groups ⋮ A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras ⋮ STRUCTURE RESULTS FOR NORMALIZERS OF II₁ FACTORS ⋮ Intermediate subalgebras and bimodules for general crossed products of von Neumann algebras ⋮ Maximal subgroups and von Neumann subalgebras with the Haagerup property ⋮ Intermediate C*-algebras of Cartan embeddings ⋮ \(C^\ast \)-irreducibility for reduced twisted group \(C^\ast \)-algebras ⋮ On invariant von Neumann subalgebras rigidity property

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