Weak multiplier Hopf algebras. I: The main theory.

DOI10.1515/CRELLE-2013-0053zbMath1343.16028arXiv1210.4395OpenAlexW2963557669MaRDI QIDQ494944

Alfons Van Daele, Shuan-Hong Wang

Publication date: 8 September 2015

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4395

zbMATH Keywords

weak Hopf algebrasantipodesweak multiplier Hopf algebras

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Related Items (21)

Weak multiplier bialgebras ⋮ Multiplier Hopf algebroids: Basic theory and examples ⋮ Pairing and duality of algebraic quantum groupoids ⋮ Yetter-Drinfeld modules over weak multiplier bialgebras ⋮ Partial \(\ast \)-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups ⋮ An algebraic framework for the Drinfeld double based on infinite groupoids ⋮ A correspondence between homogeneous and Galois coactions of Hopf algebras ⋮ Oplax Hopf Algebras ⋮ Separability idempotents in \(C^{\ast}\)-algebras ⋮ A class of C∗-algebraic locally compact quantum groupoids part I. Motivation and definition ⋮ The Larson–Sweedler theorem for weak multiplier Hopf algebras ⋮ Semidirect products of weak multiplier Hopf algebras: Smash products and smash coproducts ⋮ On duality of algebraic quantum groupoids ⋮ Partial (Co)actions of multiplier Hopf algebras: Morita and Galois theories ⋮ Symmetries and theu-condition in weak monoidal Hom–Yetter–Drinfeld categories ⋮ Weak multiplier bimonoids ⋮ Integration on algebraic quantum groupoids ⋮ New braided \(T\)-categories over weak crossed Hopf group coalgebras ⋮ A class of \(C^\ast\)-algebraic locally compact quantum groupoids. II: Main theory ⋮ Partial compact quantum groups ⋮ A duality theorem for weak multiplier Hopf algebra actions

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