The weak Haagerup property

DOI10.1090/tran/6445zbMath1332.22008arXiv1401.7541OpenAlexW3104796290MaRDI QIDQ2790597

Søren Knudby

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7541

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Group algebras of locally compact groups (22D15)

Related Items

Fourier theory and \(C^\ast\)-algebras ⋮ Herz-Schur multipliers of dynamical systems ⋮ Von Neumann equivalence and 𝑀_{𝑑} type approximation properties ⋮ WEAK HAAGERUP PROPERTY OF-CROSSED PRODUCTS ⋮ Weak Haagerup property of dynamical systems ⋮ Unnamed Item ⋮ On the completely bounded approximation property of crossed products ⋮ Mapping ideals of quantum group multipliers ⋮ Completely bounded maps and invariant subspaces

Cites Work

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• Examples of groups which are not weakly amenable
• A family of singular oscillatory integral operators and failure of weak amenability
• Group factors of the Haagerup type
• Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property
• Arithmetic subgroups of algebraic groups
• Weak amenability of the universal covering group of \(SU(1,n)\)
• On a class of II\(_1\) factors with at most one Cartan subalgebra
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Separable nuclear \(C^*\)-algebras and injectivity
• An example of a non nuclear C*-algebra, which has the metric approximation property
• The Fourier algebra of \(SL(2,\mathbb{R})\rtimes\mathbb{R}^ n\), \(n\geq2\), has no multiplier bounded approximate unit
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• Amenable correspondences and approximation properties for von Neumann algebras
• Simple Lie groups without the approximation property
• Group extensions with infinite conjugacy classes.
• Semigroups of Herz-Schur multipliers
• Proper actions of lamplighter groups associated with free groups
• On ergodic theorems for free group actions on noncommutative spaces
• The Radon-Nikodym theorem for von Neumann algebras
• Weak amenability and semidirect products in simple Lie groups
• Induced representation of locally compact groups. I
• Proper cocycles and weak forms of amenability
• The Weak Haagerup Property II: Examples
• Khintchine type inequalities for reduced free products and applications
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• A characterization of completely bounded multipliers of Fourier algebras
• Injective W*-algebras
• Approximation Properties for Group C∗-Algebras and Group Von Neumann Algebras
• Herz-Schur multipliers and weakly almost periodic functions on locally compact groups
• Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space
• Borel cocycles, approximation properties and relative property T
• The Haagerup Invariant for Von Neumann Algebras
• Extending multipliers of the Fourier algebra from a subgroup
• L'algèbre de Fourier d'un groupe localement compact
• An extremal property of the polar decomposition in von Neumann algebras
• On the existence and irreducibility of certain series of representations
• Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.
• \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space
• Theory of operator algebras I.
• Groups with the Haagerup property. Gromov's a-T-menability