The analytic structure of algebraic quantum groups.

DOI10.1016/S0021-8693(02)00570-7zbMath1034.46064arXivfunct-an/9707010OpenAlexW2079663654MaRDI QIDQ1867318

J. Kustermans

Publication date: 2 April 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9707010

zbMATH Keywords

multiplier algebraalgebraic quantum group

Mathematics Subject Classification ID

Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (12)

Twisted tensor coproduct of multiplier Hopf algebras. ⋮ Algebraic quantum hypergroups ⋮ Hecke algebras and the Schlichting completion for discrete quantum groups ⋮ The approximation property for locally compact quantum groups ⋮ Twisted tensor product of multiplier Hopf (*-)algebras. ⋮ From Hopf algebras to topological quantum groups. A short history, various aspects and some problems ⋮ The Drinfel'd double of multiplier Hopf algebras. ⋮ On duality of algebraic quantum groupoids ⋮ Multiplier Hopf algebras imbedded in locally compact quantum groups. ⋮ On idempotent states on quantum groups ⋮ Galois objects for algebraic quantum groups. ⋮ Explicit Rieffel induction module for quantum groups

Cites Work

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• Compact matrix pseudogroups
• An algebraic framework for group duality
• Galois theory for multiplier Hopf algebras with integrals
• Cyclic cohomology and Hopf algebras
• Cyclic cohomology and Hopf algebra symmetry
• COREPRESENTATION THEORY OF MULTIPLIER HOPF ALGEBRAS II
• A simple definition for locally compact quantum groups
• Actions of multiplier hopf algebras
• Multiplier Hopf Algebras
• C*-Algebraic Quantum Groups Arising from Algebraic Quantum Groups
• LOCALLY COMPACT QUANTUM GROUPS IN THE UNIVERSAL SETTING
• COREPRESENTATION THEORY OF MULTIPLIER HOPF ALGEBRAS I
• Locally compact quantum groups

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