On constructing non-\(^ *\)isomorphic hyperfinite factors of type III

DOI10.1016/0022-1236(70)90049-2zbMath0209.44601OpenAlexW2051261134MaRDI QIDQ2543880

Wolfgang Krieger

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1016/0022-1236(70)90049-2

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Spaces of measures (46E27)

Related Items (27)

Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II ⋮ Crossed products by groupoid actions and their smooth flows of weights ⋮ Ergodic group theory ⋮ Structure and classification of factors ⋮ Trajectory theory ⋮ Unnamed Item ⋮ Strong orbit realization for minimal homeomorphisms ⋮ Type III representations and modular spectral triples for the noncommutative torus ⋮ Modular spectral triples and deformed Fredholm modules ⋮ On non-singular transformations that arise from kolmogoroff systems ⋮ Finite traces and representations of the group of infinite matrices over a finite field ⋮ Free products of measured equivalence relations. ⋮ Ergodic equivalence relations, cohomology, and von Neumann algebras ⋮ Décomposition et classification des systèmes dynamiques ⋮ Sur la classification des systèmes dynamiques non commutatifs ⋮ On ergodic flows and the isomorphism of factors ⋮ Amenable ergodic actions, hyperfinite factors, and Poincaré flows ⋮ Hyperfinite factors and amenable ergodic actions ⋮ Orbit structure and countable sections for actions of continuous groups ⋮ Theory of dynamical systems and general transformation groups with invariant measure ⋮ On a class of hyperfinite factors that arise from null-recurrent Markov chains ⋮ Non-ITPFI diffeomorphisms ⋮ Une extension d'un théorème de A. Connes sur les facteurs constructibles ⋮ Haar Measure for Measure Groupoids ⋮ Orbital factor map ⋮ Groups of automorphisms of a Lebesgue space with the almost periodicity condition ⋮ The Regular Representations of Measure Groupoids

Cites Work

• Unnamed Item
• Unnamed Item
• Type I \(C^ *\)-algebras
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• On the isomorphy problem for ergodic equivalence relations
• On Groups of Measure Preserving Transformations. I
• On the crossed product of abelian von Neumann algebras, I
• On non-singular transformations of a measure space. I
• On Groups of Measure Preserving Transformations. II

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