Measured quantum groupoids associated with matched pairs of locally compact groupoids

Vallin, Jean-Michel

Annales mathématiques Blaise Pascal, Tome 21 (2014) no. 2, pp. 81-133.

En généralisant la notion de couple assorti de groupes, nous définissons et étudions les paires assorties de groupoides localement compacts munis de systèmes de Haar, afin d’obtenir de nouveaux exemples de groupoïdes quantiques mesurés.

Generalizing the notion of matched pair of groups, we define and study matched pairs of locally compact groupoids endowed with Haar systems, in order to give new examples of measured quantum groupoids.

Classification : 17B37, 22D25, 22A22
Keywords: Von Neumann algebras, measured quantum groupoids, matched pairs of groupoids
Mot clés : Algèbres de von Neumann, groupoïdes quantiques mesurés, paires assorties de groupoïdes

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