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arXiv · 2306.17753

Algebraic quantum transformation groupoids of compact type

Frank Taipe
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Abstract

In this work, we introduce a class of Timmermann's measured multiplier Hopf *-algebroids called algebraic quantum transformation groupoids of compact type. Each object in this class admits a Pontrjagin-like dual called an algebraic quantum transformation groupoid of discrete type. This compact/discrete duality in the framework of algebraic quantum transformation groupoids recover the one between compact and discrete Van Daele's algebraic quantum groups. Among the non-trivial examples of algebraic quantum transformation groupoids of compact type, we give constructions arising from Fell bundles and quantum quotient spaces.

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Frank Taipe. 2023-06-30. Algebraic quantum transformation groupoids of compact type. https://arxiv.org/abs/2306.17753

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