A Hilbert module approach to the Haagerup property

DOI10.1007/s00020-012-1979-3zbMath1263.46043OpenAlexW2150778747MaRDI QIDQ1928559

Zhe Dong, Zhong-Jin Ruan

Publication date: 3 January 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-1979-3

zbMATH Keywords

multipliersHilbert modulesHaagerup propertycoarse embeddingexact groups

Mathematics Subject Classification ID

Geometric group theory (20F65) (C^*)-modules (46L08) Operator spaces and completely bounded maps (46L07) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10)

Related Items

The Haagerup property for twisted groupoid dynamical systems, Fourier theory and \(C^\ast\)-algebras, Positive Herz–Schur multipliers and approximation properties of crossed products, Negative definite functions for \(C^*\)-dynamical systems, Topological property (T) for groupoids, Haagerup property of semigroup crossed products, Weak Haagerup property of dynamical systems, On graph products of multipliers and the Haagerup property for -dynamical systems, Exactness and SOAP of crossed products via Herz-Schur multipliers, Exactness of locally compact groups, Property \(T\) for actions, GROUP ACTION PRESERVING THE HAAGERUP PROPERTY OF -ALGEBRAS, Multipliers and duality for group actions, Central and convolution Herz-Schur multipliers, The Haagerup approximation property for arbitrary C*-algebras

Cites Work

• Group factors of the Haagerup type
• Haagerup property for \(C^{*}\)-algebras
• Systèmes dynamiques non commutatifs et moyennabilité. (Non commutative dynamical systems and amenability)
• An example of a non nuclear C*-algebra, which has the metric approximation property
• The Baum-Connes conjecture for amenable foliations
• A bicommutant theorem for completely bounded module homomorphisms
• Exact groups and continuous bundles of \(C^*\)-algebras
• Operations on continuous bundles of \(C^*\)-algebras
• Factorization through matrix spaces for finite rank operators between \(C^*\)-algebras
• Group C*-algebras without the completely bounded approximation property
• Amenable actions and exactness for discrete groups
• Constructions preserving Hilbert space uniform embeddability of discrete groups
• Groups with the Haagerup property. Gromov's a-T-menability
• Exactness and the Novikov conjecture
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