Amenability and co-amenability of algebraic quantum groups II.

DOI10.1016/S0022-1236(03)00021-1zbMath1034.46063arXivmath/0111026MaRDI QIDQ1402316

Erik Bedos, Gerard J. Murphy, Lars Tuset

Publication date: 20 August 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111026

zbMATH Keywords

injectivityquantum groupamenabilitynuclearity

Mathematics Subject Classification ID

Related Items (12)

On ideals of L1-algebras of compact quantum groups ⋮ Amenable discrete quantum groups ⋮ Weak expectations of discrete quantum group algebras and crossed products ⋮ Operator biprojectivity of compact quantum groups ⋮ On the Baum–Connes conjecture for discrete quantum groups with torsion and the quantum Rosenberg conjecture ⋮ Quantum spaces without group structure ⋮ Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory ⋮ The Haagerup approximation property for von Neumann algebras via quantum Markov semigroups and Dirichlet forms ⋮ CCAP for universal discrete quantum groups ⋮ INNER AMENABILITY OF LOCALLY COMPACT QUANTUM GROUPS ⋮ Ergodic properties and harmonic functionals on locally compact quantum groups ⋮ Approximation properties for free orthogonal and free unitary quantum groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Amenability and coamenability of algebraic quantum groups
• Algèbres de Kac moyennables. (Amenable Kac algebras)
• Compact matrix pseudogroups
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Tensor products of operator algebras
• An algebraic framework for group duality
• Amenability of Hopf von Neumann algebras and Kac algebras
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• Injective W*-algebras
• Multiplier Hopf Algebras
• C*-Algebraic Quantum Groups Arising from Algebraic Quantum Groups
• LOCALLY COMPACT QUANTUM GROUPS IN THE UNIVERSAL SETTING
• Déformations de $C\sp*$-algèbres de Hopf
• Locally compact quantum groups
• Co-amenability of compact quantum groups

This page was built for publication: Amenability and co-amenability of algebraic quantum groups II.