Pairing and quantum double of finite Hopf \(C^*\)-algebras

DOI10.1007/s10114-005-0886-9zbMath1126.46045arXiv0908.1046OpenAlexW2012024451MaRDI QIDQ2644341

Yanyan Li

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1046

zbMATH Keywords

quantum doublepairingHopf \(C^*\)-algebraGNS representation

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (2)

Quantum double constructions for compact quantum group ⋮ Characterization of compact quantum group

Cites Work

• Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
• Compact matrix pseudogroups
• On a generalization of the Hopf fibration. I
• From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
• The Larson-Sweedler theorem for multiplier Hopf algebras.
• The Drinfel'd double for group-cograded multiplier Hopf algebras.
• Hopf C*-Algebras
• Dual Pairs of Hopf *-Algebras
• The Haar measure on finite quantum groups
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Pairing and quantum double of multiplier Hopf algebras
• A pairing theorem between a braided bialgebra and its dual bialgebra
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