Graphs of quantum groups and \(K\)-amenability

DOI10.1016/j.aim.2014.04.008zbMath1297.46048arXiv1307.5609OpenAlexW2027461670MaRDI QIDQ2452073

Amaury Freslon, Pierre Fima

Publication date: 28 May 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5609

zbMATH Keywords

quantum groups\(K\)-amenabilityquantum Bass-Serre tree

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantizations, deformations for selfadjoint operator algebras (46L65) Free products of (C^*)-algebras (46L09)

Related Items (7)

The KK-theory of fundamental C*-algebras ⋮ The KK-theory of amalgamated free products ⋮ Operator algebras of free wreath products ⋮ A Cuntz-Pimsner model for the \(C^\ast \)-algebra of a graph of groups ⋮ Graph products of operator algebras ⋮ Permanence of approximation properties for discrete quantum groups ⋮ \(KK\)-theory for some graph \(C^\ast\)-algebras

Cites Work

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• Exactness of reduced amalgamated free product C* -algebras
• K-theoretic amenability for discrete groups.
• HNN extensions and unique group measure space decomposition of II$_{1}$ factors
• Co-amenability of compact quantum groups

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