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arXiv · 2211.16491

Yetter-Drinfeld algebras over a pairing of multiplier Hopf algebras

Frank Taipe
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Abstract

In the present work, we study Yetter-Drinfeld algebras over a pairing of multiplier Hopf algebras. Our main motivation is the construction of a self-dual theory of (C*-)algebraic quantum transformation groupoids. Instead of the standard characterization of Yetter-Drinfeld algebras given in the case of Hopf algebras, we develop an equivalent "only coaction" characterization in the framework of multiplier Hopf algebras. Finally, as a special case, we focus on Yetter-Drinfeld structures over Van Daele's algebraic quantum groups.

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Frank Taipe. 2022-11-29. Yetter-Drinfeld algebras over a pairing of multiplier Hopf algebras. https://arxiv.org/abs/2211.16491

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