Property (T) and exotic quantum group norms

DOI10.4171/JNCG/105zbMath1277.46041arXiv1006.4044OpenAlexW1975204225MaRDI QIDQ692854

David Kyed, Piotr M. Sołtan

Publication date: 6 December 2012

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4044

zbMATH Keywords

\(C^*\)-algebracompact quantum groupsproperty (T)exotic norm

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (19)

The canonical central exact sequence for locally compact quantum groups ⋮ On exotic group C*-algebras ⋮ Quantum groups, property (T), and weak mixing ⋮ \({L_{p}}\)-representations of discrete quantum groups ⋮ Quantum symmetries of the twisted tensor products of \(C^*\)-algebras ⋮ A family of exotic group C*-algebras ⋮ QUANTUM INCREASING SEQUENCES GENERATE QUANTUM PERMUTATION GROUPS ⋮ A cohomological description of property (T) for quantum groups ⋮ Translations in quantum groups ⋮ Weak mixing for locally compact quantum groups ⋮ Actions, quotients and lattices of locally compact quantum groups ⋮ Remarks on the quantum Bohr compactification ⋮ 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 ⋮ A full description of property \(T\) of unital \(C^\ast\)-crossed products ⋮ Center of the algebra of functions on the quantum group \(\mathrm{SU}_q(2)\) and related topics ⋮ Boundary maps, germs and quasi-regular representations ⋮ Property T for locally compact quantum groups

Cites Work

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• Operator biprojectivity of compact quantum groups
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• On Amenability and Co-Amenability of Algebraic Quantum Groups and Their Corepresentations
• KAZHDAN'S PROPERTY T FOR DISCRETE QUANTUM GROUPS
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