On amenable groups of automorphisms on von Neumann algebras

DOI10.1007/BF02764777zbMath0707.46047OpenAlexW1965265441MaRDI QIDQ919586

Edmond E. Granirer

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02764777

zbMATH Keywords

von Neumann algebraamenabilitycountable groupdual actioninvariant statesexistence of minimal projectionsset of pure states

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

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• Amenable semigroups
• Geometric and topological properties of certain \(w^ *\) compact convex subsets of double duals of Banach spaces, which arise from the study of invariant means
• Property T and asymptotically invariant sequences
• Action of amenable groups and uniqueness of invariant means
• On the continuity of semi-norms on operator algebras
• Weakly compact operators on operator algebras
• Ergodic Group Actions with Nonunique Invariant Means
• Geometric and Topological Properties of Certain w* Compact Convex sets which Arise from the Study of Invariant Means
• A Strong Containment Property for Discrete Amenable Groups of Automorphisms on W ∗ Algebras
• Some topological and geometrical structures in Banach spaces
• Different Types of Invariant Means
• Almost Invariant Sets
• Uniqueness of Invariant Means for Measure-Preserving Transformations
• The Radon-Nikodym Property in Conjugate Banach Spaces. II
• Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
• Some Characterizations of Weak Radon-Nikodym Sets
• Topological Invariant Means on the Von Neumann Algebra VN(G)
• Exposed points of convex sets and weak sequential convergence

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