On spectral characterizations of amenability

DOI10.1007/BF02785954zbMath1274.37003OpenAlexW2003962748MaRDI QIDQ2382225

Claire Anantharaman-Delaroche

Publication date: 28 September 2007

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

Full work available at URL: https://doi.org/10.1007/bf02785954

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Ergodic theorems, spectral theory, Markov operators (37A30) Means on groups, semigroups, etc.; amenable groups (43A07) General groups of measure-preserving transformations and dynamical systems (37A15)

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Cites Work

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• A groupoid approach to C*-algebras
• Cogrowth and amenability of discrete groups
• Extensions of ergodic group actions
• Hyperfinite factors and amenable ergodic actions
• Amenable ergodic group actions and an application to Poisson boundaries of random walks
• On the spectrum of the sum of generators for a finitely generated group
• The spectral theory of amenable actions and invariants of discrete groups
• Zur Operatorenmethode in der klassischen Mechanik
• Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group
• Amenable actions of locally compact groups
• Virtual groups and group actions
• Moyennes invariantes et représentations unitaires
• On the relation between amenability of locally compact groups and the norms of convolution operators
• Convolutions, means, and spectra
• Operator methods in classical mechanics. II
• Full Banach Mean Values on Countable groups.
• Symmetric Random Walks on Groups
• Action moyennable d'un groupe localement compact sur une algebre de von Neumann.
• Action moyennable d'un groupe localement compact sur une algèbre de von Neumann II.
• On the von Neumann Algebra of an Ergodic Group Action
• Amenable Pairs of Groups and Ergodic Actions and the Associated von Neumann Algebras
• Amenable Actions of Groups
• Amenable Actions and Weak Containment of Certain Representations of Discrete Groups
• Weak Containment and Induced Representations of Groups