A Duality Theorem for Weak Multiplier Hopf Algebra Actions
Rings and Algebras
2017-03-09 v3
Abstract
The main purpose of this paper is to unify the theory of actions of Hopf algebras, weak Hopf algebras and multiplier Hopf algebras to one of actions of weak multiplier Hopf algebras introduced by A. Van Daele and S. H. Wang. Using such developed actions, we will define the notion of a module algebra over weak multiplier Hopf algebras and construct their smash products. The main result is the duality theorem for actions and their dual actions on the smash product of weak multiplier Hopf algebras. As an application, we recover the main results found in the literature for weak Hopf algebras, multiplier Hopf algebras and groupoids.
Keywords
Cite
@article{arxiv.1701.02862,
title = {A Duality Theorem for Weak Multiplier Hopf Algebra Actions},
author = {Nan Zhou and Shuanhong Wang},
journal= {arXiv preprint arXiv:1701.02862},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1306.1466 by other authors