Asymptotic Galois correspondence for discrete amenable group actions on factors

DOI10.1016/0022-1236(92)90138-9zbMath0758.46039OpenAlexW2041573116MaRDI QIDQ1185748

Yoshikazu Katayama, Masamichi Takesaki

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90138-9

zbMATH Keywords

AFD factorasymptotic Galois correspondencegroup actions on factorsnon-type I approximately finite dimensional factorsultrafree action of a discrete amenable group

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) States of selfadjoint operator algebras (46L30)

Related Items (1)

A Galois Type Theorem in von Neumann Algebras

Cites Work

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• Duality for crossed products and the structure of von Neumann algebras of type III
• Action of discrete amenable groups on von Neumann algebras
• Almost periodic states and factors of type III\(_1\)
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• The flow of weights on factors of type III
• Outer conjugacy classes of automorphisms of factors
• Duality for crossed products of von Neumann algebras

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