Free actions of compact quantum groups on unital \(C^\ast\)-algebras

DOI10.25537/dm.2017v22.825-849zbMath1386.46055arXiv1304.2812MaRDI QIDQ1677370

Paul F. Baum, Kenny De Commer, Piotr M. Hajac

Publication date: 21 November 2017

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.2812

zbMATH Keywords

quantum groupHopf algebra\(C^\ast\)-algebrafree action

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)

Related Items (16)

An Atiyah sequence for noncommutative principal bundles ⋮ Fixed point algebras for easy quantum groups ⋮ Compact group actions on topological and noncommutative joins ⋮ Free actions of compact quantum groups on \(C^*\)-algebras. III. ⋮ Non-existence of genuine (compact) quantum symmetries of compact, connected smooth manifolds ⋮ A correspondence between homogeneous and Galois coactions of Hopf algebras ⋮ The \(K\)-theory of twisted multipullback quantum odd spheres and complex projective spaces ⋮ A note on the injectivity of actions of compact quantum groups on a class of $C^{\ast }$-algebras ⋮ Associated noncommutative vector bundles over the Vaksman–Soibelman quantum complex projective spaces ⋮ Cyclic-homology Chern-Weil theory for families of principal coactions ⋮ Categorically Morita equivalent compact quantum groups ⋮ Pullbacks and nontriviality of associated noncommutative vector bundles ⋮ Gauge theory on noncommutative Riemannian principal bundles ⋮ Noncommutative Borsuk-Ulam-type conjectures revisited ⋮ Invariants in noncommutative dynamics ⋮ Lifting spectral triples to noncommutative principal bundles

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