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arXiv · 0810.3771

Compact C*-quantum groupoids

Thomas Timmermann
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Abstract

We propose a definition of compact quantum groupoids in the setting of C*-algebras, associate to such a quantum groupoid a regular C*-pseudo-multiplicative unitary, and use this unitary to construct a dual Hopf C*-bimodule and to pass to a measurable quantum groupoid in the sense of Enock and Lesieur. Moreover, we discuss examples related to compact and to \'etale groupoids and study principal compact C*-quantum groupoids.

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Thomas Timmermann. 2008-10-21. Compact C*-quantum groupoids. https://arxiv.org/abs/0810.3771

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