A duality theorem for ergodic actions of compact quantum groups on \(C^*\)-algebras

DOI10.1007/s00220-007-0371-7zbMath1160.46045arXivmath/0607188OpenAlexW1965672430MaRDI QIDQ934584

John E. Roberts, Claudia Pinzari

Publication date: 30 July 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607188

zbMATH Keywords

ergodic actioncompact quantum groupspectral functortensor \(C^*\)-categorytensor product representation

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Quantum groups (quantized function algebras) and their representations (20G42) Categories, functors in functional analysis (46M15)

Related Items (15)

Fixed point algebras for easy quantum groups ⋮ Polynomial growth of discrete quantum groups, topological dimension of the dual and *-regularity of the Fourier algebra ⋮ Quasi-coassociative \(C^\ast\)-quantum groupoids of type \(A\) and modular \(C^\ast\)-categories ⋮ Quantum groups -- algebra, analysis and category theory. Abstracts from the workshop held September 12--18, 2021 (hybrid meeting) ⋮ Tannaka-Krein reconstruction and ergodic actions of easy quantum groups ⋮ Connected components of compact matrix quantum groups and finiteness conditions ⋮ Fixed points of compact quantum groups actions on Cuntz algebras ⋮ Categorically Morita equivalent compact quantum groups ⋮ Rigid C*-Tensor Categories and their Realizations as Hilbert C*-Bimodules ⋮ Growth rates of dimensional invariants of compact quantum groups and a theorem of Høegh-Krohn, Landstad and Størmer ⋮ Actions of monoidally equivalent compact quantum groups and applications to probabilistic boundaries ⋮ Ergodic actions of \(S_\mu U(2)\) on \(C^{*}\)-algebras from \(II_{1}\) subfactors ⋮ A rigidity result for extensions of braided tensor \(C^*\)-categories derived from compact matrix quantum groups ⋮ ON SECOND COHOMOLOGY OF DUALS OF COMPACT GROUPS ⋮ Towards a Classification of Compact Quantum Groups of Lie Type

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