On compact bicrossed products

DOI10.4171/JNCG/11-4-10zbMath1410.46054arXiv1504.00092OpenAlexW2963013176MaRDI QIDQ680727

Kunal Mukherjee, Pierre Fima, Issan Patri

Publication date: 26 January 2018

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

Full work available at URL: https://arxiv.org/abs/1504.00092

zbMATH Keywords

Haagerup propertyproperty \(T\)compact quantum groupmatched pairbicrossed product

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Quantizations, deformations for selfadjoint operator algebras (46L65)

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The Baum-Connes property for a quantum (semi-)direct product ⋮ Some \(C^*\)-algebraic properties of non-commutative unitary \(C^*\)-algebra and its state space structure ⋮ Examples of compact quantum groups with \(\mathsf{L}^\infty(\mathbb{G})\) a factor ⋮ The approximation property for locally compact quantum groups ⋮ Property (T) discrete quantum groups and subfactors with triangle presentations ⋮ Actions, quotients and lattices of locally compact quantum groups ⋮ Topological automorphism groups of compact quantum groups ⋮ Orthogonal free quantum group factors are strongly 1-bounded ⋮ Around property (T) for quantum groups ⋮ Mapping ideals of quantum group multipliers ⋮ Property (T), property (F) and residual finiteness for discrete quantum groups ⋮ Operator algebras in India in the past decade ⋮ Rapid decay and polynomial growth for bicrossed products ⋮ On C∗‐completions of discrete quantum group rings

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