Invariant states and a conditional fixed point property for affine actions

DOI10.1007/BF01446307zbMath0842.46042MaRDI QIDQ1910175

Paul Jolissaint

Publication date: 31 March 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165417

zbMATH Keywords

approximation propertycompletely bounded maps\(G\)-invariant stateamenability of discrete groupsamenable unitary representationscompact group acting on a von Neumann algebraconditional fixed point property for affine actionscrossed products by discrete groups

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Unitary representations of locally compact groups (22D10) States of selfadjoint operator algebras (46L30) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (2)

A family of singular oscillatory integral operators and failure of weak amenability ⋮ Fixed point property for Banach algebras associated to locally compact groups

Cites Work

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• Amenable unitary representations of locally compact groups
• Inner amenability of groups: definitions and examples
• Théorie de Galois pour une W*-algèbre
• Hyperfinite factors and amenable ergodic actions
• Amenable ergodic group actions and an application to Poisson boundaries of random walks
• On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
• Discrete groups with Kazhdan's property \(T\) and factorization property are residually finite
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• Lattices in semisimple groups which are not inner amenable
• Amenable actions of locally compact groups
• Moyennes invariantes et représentations unitaires
• Action moyennable d'un groupe localement compact sur une algebre de von Neumann.
• The standard form of von Neumann algebras.
• On the dual weights for crossed products of von Neumann algebras II.
• Amenable Pairs of Groups and Ergodic Actions and the Associated von Neumann Algebras
• Actions of lattices in Sp (1, n)

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