Annales Mathématiques
Blaise Pascal
no. 2
Measured quantum groupoids associated with matched pairs of locally compact groupoids
[Groupoïdes quantiques mesurés associés aux couples assortis de groupoïdes localement compacts]
Jean-Michel Vallin1
1 Administrative address: MAPMO UMR 6628 CNRS / Université d’Orléans, France Alternative address: IMJ - Paris Rive Gauche Bâtiment Sophie Germain - pièce 709 Case 7012 5 rue Thomas Mann F-75205 PARIS Cedex 13
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.

DOI : 10.5802/ambp.344
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

Jean-Michel Vallin 1

1 Administrative address: MAPMO UMR 6628 CNRS / Université d’Orléans, France Alternative address: IMJ - Paris Rive Gauche Bâtiment Sophie Germain - pièce 709 Case 7012 5 rue Thomas Mann F-75205 PARIS Cedex 13 
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Jean-Michel Vallin. Measured quantum groupoids associated with matched pairs of locally compact groupoids. Annales mathématiques Blaise Pascal, Tome 21 (2014) no. 2, pp. 81-133. doi : 10.5802/ambp.344. https://ambp.centre-mersenne.org/articles/10.5802/ambp.344/

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