Permanence of approximation properties for discrete quantum groups

DOI10.5802/AIF.2963zbMath1367.46059arXiv1407.3143OpenAlexW2963518441MaRDI QIDQ5962672

Amaury Freslon

Publication date: 15 February 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3143

zbMATH Keywords

quantum groupsapproximation properties

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (3)

Relative Haagerup property for arbitrary von Neumann algebras ⋮ Infinite quantum permutations ⋮ Graph products of operator algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(K\)-theory of free quantum groups
• The fusion rules of some free wreath product quantum groups and applications
• Fusion (semi)rings arising from quantum groups
• A note on weak amenability for free products of discrete quantum groups
• CCAP for universal discrete quantum groups
• Amenable discrete quantum groups
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• Amenable ergodic group actions and an application to Poisson boundaries of random walks
• Symmetries of a generic coaction
• On the method of constructing irreducible finite index subfactors of Popa
• The free compact quantum group \(U(n)\)
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• \(K\)-amenability for amalgamated free products of amenable discrete quantum groups
• Free products of compact quantum groups
• Amenable correspondences and approximation properties for von Neumann algebras
• Co-amenability and Connes's embedding problem
• \(K\)-amenability of HNN extensions of amenable discrete quantum groups
• Examples of weakly amenable discrete quantum groups
• Graphs of quantum groups and \(K\)-amenability
• The boundary of universal discrete quantum groups, exactness, and factoriality
• An invitation to quantum groups and duality. From Hopf algebras to multiplicative unitaries and beyond
• On the tensor products of von Neumann algebras
• Moyennes invariantes et représentations unitaires
• A new approach to induction and imprimitivity results
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• Approximation properties for free orthogonal and free unitary quantum groups
• Property T for von Neumann Algebras
• Khintchine type inequalities for reduced free products and applications
• Action moyennable d'un groupe localement compact sur une algebre de von Neumann.
• Weakly Amenable Groups and Amalgamated Products
• Approximation properties for KAC algebras
• On Amenability and Co-Amenability of Algebraic Quantum Groups and Their Corepresentations
• Tensor Products and Crossed Products of Compact Quantum Groups
• COMPLETELY POSITIVE MULTIPLIERS OF QUANTUM GROUPS
• KAZHDAN'S PROPERTY T FOR DISCRETE QUANTUM GROUPS
• Haagerup's Approximation Property and Relative Amenability
• The unitary implementation of a locally compact quantum group action

This page was built for publication: Permanence of approximation properties for discrete quantum groups