Partial (Co)actions of multiplier Hopf algebras: Morita and Galois theories

DOI10.1142/S0219498821501425zbMath1503.16048arXiv1709.08051MaRDI QIDQ5157748

Eneilson Fontes, Danielle Azevedo, Graziela Fonseca, Grasiela Martini, Eliezer Batista

Publication date: 20 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08051

zbMATH Keywords

Galois theorysmash productpartial actionmultiplier Hopf algebraMorita theory

Mathematics Subject Classification ID

Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Hopf algebras, quantum groups and related topics (16T99)

Related Items

Partial smash coproduct of multiplier Hopf algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiplier bialgebras in braided monoidal categories.
• Weak multiplier Hopf algebras. I: The main theory.
• Multiplier Hopf monoids
• Bicrossproducts of multiplier Hopf algebras.
• Partial actions and Galois theory
• Dual constructions for partial actions of Hopf algebras.
• An algebraic framework for group duality
• Galois theory for multiplier Hopf algebras with integrals
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• Partial actions of \(C^{*}\)-quantum groups
• Partial representations of Hopf algebras
• Partial actions: what they are and why we care
• A category of multiplier bimonoids
• Morita equivalence of partial group actions and globalization
• A Note on the Antipode for Algebraic Quantum Groups
• Enveloping Actions for Partial Hopf Actions
• Partial (Co)Actions of Hopf Algebras and Partial Hopf-Galois Theory
• Partial Hopf actions, partial invariants and a Morita context
• MULTIPLIER BI- AND HOPF ALGEBRAS
• Partial actions of groups and actions of inverse semigroups
• Actions of multiplier hopf algebras
• Multiplier Hopf Algebras
• Associativity of crossed products by partial actions, enveloping actions and partial representations
• Weak multiplier Hopf algebras. Preliminaries, motivation and basic examples
• Morita Contexts and Partial Group Galois Extensions for Hopf Group Coalgebras