Applications of Følner's condition to quantum groups.

DOI10.4171/JNCG/126zbMath1283.16029arXiv0912.0166OpenAlexW2963080253WikidataQ61677669 ScholiaQ61677669MaRDI QIDQ355370

Andreas Thom, David Kyed

Publication date: 24 July 2013

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

Full work available at URL: https://arxiv.org/abs/0912.0166

zbMATH Keywords

Hopf algebrasvon Neumann algebrascoamenable quantum groupsFølner conditionMurray-von Neumann dimension

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) Means on groups, semigroups, etc.; amenable groups (43A07) Ring-theoretic aspects of quantum groups (16T20)

Related Items (2)

On the \({\ell}^2\)-Betti numbers of universal quantum groups ⋮ Amenability and vanishing of \(L^2\)-Betti numbers: an operator algebraic approach

Cites Work

• Representations of compact quantum groups and subfactors
• Co-amenability of compact quantum groups

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