Continuous functions on compact groups

DOI10.1090/S0002-9939-97-03652-6zbMath0863.43006MaRDI QIDQ3127301

David P. Blecher

Publication date: 8 April 1997

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

zbMATH Keywords

Hilbert spacequantum groupsunitary representationsoperator algebrascompact groupFourier algebraFourier polynomialsTannaka's duality theoremantirepresentationsFourier product representationPeter-Weyl theory

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Harmonic analysis on general compact groups (43A77)

Related Items (1)

Factorizations in universal operator spaces and algebras

Cites Work

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• A characterization of operator algebras
• The standard dual of an operator space
• Compact matrix pseudogroups
• Completely bounded multilinear maps and \(C^ *\)-algebraic cohomology
• Amenability of Hopf von Neumann algebras and Kac algebras
• Projectively bounded Fréchet measures
• Explicit Construction of Universal Operator Algebras and Applications to Polynomial Factorization
• The Haar Measure on a Compact Quantum Group
• L'algèbre de Fourier d'un groupe localement compact

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