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arXiv · 0808.4049

The Unitary Implementation of a Measured Quantum Groupoid action

Michel Enock
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Abstract

Mimicking the von Neumann version of Kustermans and Vaes' locally compact quantum groups, Franck Lesieur had introduced a notion of measured quantum groupoid, in the setting of von Neumann algebras. In a former article, the author had introduced the notion of actions, crossed-product, dual actions of a measured quantum groupoid: a biduality theorem for actions had been proved. This article continues that program : we prove the existence of a standard implementation for an action, and a bidulaity theorem for weights. We generalize this way results which were proved, for locally compact quantum groups by S. Vaes, and for measured groupoids by T. Yamanouchi.

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Michel Enock. 2010-02-24. The Unitary Implementation of a Measured Quantum Groupoid action. https://arxiv.org/abs/0808.4049

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