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arXiv · 1709.08051

Partial (Co)Actions of Multiplier Hopf Algebras: Morita and Galois Theories

D. Azevedo·E. Batista·G Fonseca·E. Fontes·G. Martini
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Abstract

In this work we deal with partial (co)action of multiplier Hopf algebras on not necessarily unital algebras. Our main goal is to construct a Morita context relating the coinvariant algebra $R^{\underline{coA}}$ with a certain subalgebra of the smash product $R\#\widehat{A}$. Besides this we present the notion of partial Galois coaction, which is closely related to this Morita context.

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D. Azevedo, E. Batista, G Fonseca, E. Fontes, G. Martini. 2017-09-23. Partial (Co)Actions of Multiplier Hopf Algebras: Morita and Galois Theories. https://arxiv.org/abs/1709.08051

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