Property T for locally compact quantum groups

DOI10.1142/S0129167X1550024XzbMath1321.46075arXiv1509.02262OpenAlexW2075044082MaRDI QIDQ5249991

Xiao Chen, Chi-Keung Ng

Publication date: 13 May 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02262

zbMATH Keywords

property Tlocally compact quantum groupbicrossed productalmost invariant vector

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Quantum groups (quantized function algebras) and their representations (20G42) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (8)

Quantum groups, property (T), and weak mixing ⋮ Quantum relative modular functions ⋮ Weak mixing for locally compact quantum groups ⋮ Property $(T)$ for locally compact groups and $C^*$-algebras ⋮ Actions, quotients and lattices of locally compact quantum groups ⋮ Admissibility conjecture and Kazhdan's property (T) for quantum groups ⋮ Around property (T) for quantum groups ⋮ Property (T), property (F) and residual finiteness for discrete quantum groups

Cites Work

• Property (T) and exotic quantum group norms
• Minimal projections, integrable representations and property (T)
• Property (\(T\)) and strong property (\(T\)) for unital \(C^*\)-algebras
• Connection of the dual space of a group with the structure of its closed subgroups
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• Transformations pentagonales
• Locally compact quantum groups in the von Neumann algebraic setting
• Amenability and Co-Amenability for Locally Compact Quantum Groups
• An example of amenable Kac systems
• LOCALLY COMPACT QUANTUM GROUPS IN THE UNIVERSAL SETTING
• KAZHDAN'S PROPERTY T FOR DISCRETE QUANTUM GROUPS
• Amenable representations and Reiter's property for Kac algebras

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