Compact quantum group actions on C*-algebras and invariant derivations

DOI10.1090/S0002-9939-07-09011-9zbMath1129.46057arXivmath/0603026OpenAlexW2037357389MaRDI QIDQ5423954

Raluca Dumitru, Costel Peligrad

Publication date: 1 November 2007

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

Full work available at URL: https://arxiv.org/abs/math/0603026

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Quantum groups (quantized function algebras) and their representations (20G42) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (4)

Simple and prime crossed products of \(C^*\)-algebras by compact quantum group coactions ⋮ Compact group actions on operator algebras and their spectra ⋮ A Galois correspondence for compact group actions on C\(^{\ast}\)-algebras ⋮ Spectra for compact quantum group coactions and crossed products

Cites Work

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• Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups
• Derivations, dissipations and group actions on \(C^ *\)-algebras
• Compact matrix pseudogroups
• Unbounded derivations commuting with compact group actions
• Ergodic actions of universal quantum groups on operator 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
• On One-Parameter Subgroups of *-Automorphisms on Operator Algebras and the Corresponding Unbounded Derivations

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