Spectra for compact quantum group coactions and crossed products

DOI10.1090/S0002-9947-2012-05562-0zbMath1368.46061arXiv1006.1251OpenAlexW1981588173MaRDI QIDQ2839952

Raluca Dumitru, Costel Peligrad

Publication date: 17 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1251

zbMATH Keywords

crossed productstrong Connes spectrumConnes spectrumactions of compact quantum groups on \( C^\ast\)-algebrascompact nonabelian groupsquantum actions

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Quantum groups (quantized function algebras) and their representations (20G42) Crossed product algebras (analytic crossed products) (47L65)

Related Items (1)

Duality for compact group actions on operator algebras and applications: Irreducible inclusions and Galois correspondence

Cites Work

• Simple and prime crossed products of \(C^*\)-algebras by compact quantum group coactions
• Compact matrix pseudogroups
• Locally compact group actions on \(C^ *\)-algebras and compact subgroups
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Symmetries of quantum spaces. Subgroups and quotient spaces of quantum \(SU(2)\) and \(SO(3)\) groups
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• Actions of finite groups on $C^*$-algebras.
• Compact Actions Commuting with Ergodic Actions and Applications to Crossed Products
• Une classification des facteurs de type ${\rm III}$
• Compact quantum group actions on C*-algebras and invariant derivations
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