The structure of quantum spheres

DOI10.1090/S0002-9939-01-06042-7zbMath1007.46056MaRDI QIDQ2731925

Albert Jeu-Liang Sheu

Publication date: 30 July 2001

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

zbMATH Keywords

quantum groupquantum sphereToeplitz algebragroupoid \(C^*\)-algebra\(C^*\)-algebra of compact operators

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) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General theory of (C^*)-algebras (46L05) Geometry of quantum groups (58B32) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Quantizations, deformations for selfadjoint operator algebras (46L65)

Cites Work

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• The local structure of Poisson manifolds
• Compact quantum groups and groupoid \(C^*\)-algebras
• Reinhardt domains, boundary geometry, and Toeplitz \(C^*\)-algebras
• Toeplitz operators on pseudoconvex domains and foliation \(C^*\)- algebras
• \(C^*\)-algebras of multiplication operators on Bergman spaces
• A groupoid approach to C*-algebras
• On the Haar measure of the quantum \(SU(N)\) group
• On Poisson homogeneous spaces of Poisson-Lie groups
• C ∗ -Algebras of Multivariable Wiener-Hopf Operators

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