Hopf C*-Algebras

DOI10.1112/S002461150101276XzbMath1028.46100arXivmath/9907030OpenAlexW2029582320MaRDI QIDQ2766394

Alfons Van Daele, Stefaan Vaes

Publication date: 28 January 2002

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

Full work available at URL: https://arxiv.org/abs/math/9907030

zbMATH Keywords

Haagerup tensor productlocally compact quantum groupsmultiplier Hopf algebrasHopf \(C^*\)-algebras

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (20)

The Larson-Sweedler theorem for multiplier Hopf algebras. ⋮ DUALITY OF HOPF C*-ALGEBRAS ⋮ An example of a cosimple and co-commutative compact quantum semigroup ⋮ The field algebra in Hopf spin models determined by a Hopf \(\ast\)-subalgebra and its symmetric structure ⋮ Pairing and quantum double of finite Hopf \(C^*\)-algebras ⋮ Non-Archimedean duality: algebras, groups, and multipliers ⋮ A quasi-triangular Hopf structure derived from the Burchnall-Chaundy \(C^{\ast}\)-algebra ⋮ Faithful actions of locally compact quantum groups on classical spaces ⋮ \({L_{p}}\)-representations of discrete quantum groups ⋮ Jones type \(\mathrm{C}^\ast\)-basic construction in non-equilibrium Hopf spin models ⋮ A kind of compact quantum semigroups ⋮ From Hopf algebras to topological quantum groups. A short history, various aspects and some problems ⋮ The field of quantum \(\mathrm{GL}(N,\mathbb {C})\) in the \(\mathrm C^*\)-algebraic setting ⋮ Duality between compactness and discreteness beyond Pontryagin duality ⋮ COMPLETELY POSITIVE MULTIPLIERS OF QUANTUM GROUPS ⋮ Untwisting noncommutative \({\mathbb{R}}^d\) and the equivalence of quantum field theories ⋮ THE Ext-FUNCTOR FOR THE CATEGORY OF COMPLETELY BOUNDED COMODULES ⋮ Locally compact quantum groups ⋮ A criterion for a topological group to admit a continuous embedding in a locally compact group ⋮ The \(\mathrm{C}^\ast\)-algebra index for observable algebra in non-equilibrium Hopf spin models

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