A construction of finite index \(C^*\)-algebra inclusions from free actions of compact quantum groups

DOI10.4171/PRIMS/117zbMath1338.46077arXiv1201.4022MaRDI QIDQ2436079

Makoto Yamashita, Kenny De Commer

Publication date: 21 February 2014

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4022

zbMATH Keywords

unitary representationcompact quantum groups\(C^*\)-algebrasHilbert modulescoactionfree actionsquantum group actionfinite index inclusion of \(C^*\)-algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) (C^*)-modules (46L08) Noncommutative dynamical systems (46L55) Geometry of quantum groups (58B32)

Related Items (13)

An Atiyah sequence for noncommutative principal bundles ⋮ Fixed point algebras for easy quantum groups ⋮ Free actions of compact quantum groups on unital \(C^\ast\)-algebras ⋮ Free actions of compact quantum groups on \(C^*\)-algebras. III. ⋮ The \(K\)-theory of twisted multipullback quantum odd spheres and complex projective spaces ⋮ Fixed points of compact quantum groups actions on Cuntz algebras ⋮ Categorically Morita equivalent compact quantum groups ⋮ Pullbacks and nontriviality of associated noncommutative vector bundles ⋮ Noncommutative Fiber Bundles ⋮ Gauge theory on noncommutative Riemannian principal bundles ⋮ Free actions of compact abelian groups on \(C^{\ast}\)-algebras. I. ⋮ Free actions on C*-algebra suspensions and joins by finite cyclic groups ⋮ Lifting spectral triples to noncommutative principal bundles

Cites Work

• Unnamed Item
• Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups
• Compact Kac algebras and commuting squares
• A REMARK ON QUANTUM GROUP ACTIONS AND NUCLEARITY
• Subfactors associated to compact Kac algebras

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