Krieger factors isomorphic to their tensor square and pure point spectrum flows

DOI10.1016/0022-1236(85)90075-8zbMath0586.46048OpenAlexW2056487814MaRDI QIDQ1071272

Georges Skandalis, Thierry Giordano

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)90075-8

zbMATH Keywords

ergodic flowITPFI factor\(L^{\infty }\)-spectrum of the flow of weights of a factorConnes' invariantcrossed product of an abelian von Neumann algebra by an ergodic automorphismInfinite Krieger factorsinfinite tensor product of factorsKrieger hierarchypure point spectrum flowSakai flip

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)

Related Items

BERNOULLI ACTIONS OF TYPE III WITH PRESCRIBED ASSOCIATED FLOW, Actions of $\mathbb {F}_\infty $ whose II$_1$ factors and orbit equivalence relations have prescribed fundamental group, Turbulence and Araki-Woods factors, The factor type of dissipative KMS weights on graph \(C\)*-algebras, Isomorphisms and non-isomorphisms of \(\mathrm{AT}\) actions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flow under a function and discrete decomposition of properly infinite \(W^*\)-algebras
• The normalizer group of an ergodic automorphism of type III and the commutant of an ergodic flow
• On the hierarchy of W. Krieger
• Flows associated with ergodic non-singular transformation groups
• On ergodic flows and the isomorphism of factors
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Orbit structure and countable sections for actions of continuous groups
• The flow of weights on factors of type III
• Inverses, logarithms, and idempotents in M(G)
• On infinite tensor products of factors of type I₂
• Approximately transitive flows and ITPFI factors
• A Construction of Approximately Finite-Dimensional Non-ITPFI Factors
• Une classification des facteurs de type ${\rm III}$
• A classification of factors
• The Classification of Factors is not Smooth
• A remark on characters of locally compact Abelian groups