Asymptotic Abelianness, weak mixing, and property T

DOI10.1515/CRELLE.2008.077zbMath1155.22007MaRDI QIDQ3542078

David Kerr, Mikaël Pichot

Publication date: 27 November 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

weak mixingproperty \(T\)asymptotic abelianness

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25)

Related Items (8)

Quantum groups, property (T), and weak mixing ⋮ Measurable chromatic and independence numbers for ergodic graphs and group actions ⋮ Generic stationary measures and actions ⋮ Admissibility conjecture and Kazhdan's property (T) for quantum groups ⋮ Around property (T) for quantum groups ⋮ Group amenability and actions on \(\mathcal{Z} \)-stable C*-algebras ⋮ Weak containment of measure-preserving group actions ⋮ Kazhdan groups have cost 1

Cites Work

• Minimally weakly almost periodic groups
• Property T and asymptotically invariant sequences
• Kazhdan's property \((T)\) and amenable representations
• Kazhdan's property T and the geometry of the collection of invariant measures
• The homogeneous spectrum problem in ergodic theory
• Independence in topological and \(C^*\)-dynamics
• Connection of the dual space of a group with the structure of its closed subgroups
• The even CAR-algebra
• In general a measure preserving transformation is mixing
• Asymptotic Properties of Unitary Representations and Mixing
• EVERY COUNTABLE GROUP HAS THE WEAK ROHLIN PROPERTY
• PROPERTY (T) FOR C*-ALGEBRAS

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