Measured quantum groupoids associated with matched pairs of locally compact groupoids
[Groupoïdes quantiques mesurés associés aux couples assortis de groupoïdes localement compacts]
Vallin, Jean-Michel
Annales mathématiques Blaise Pascal, Tome 21 (2014), p. 81-133 / Harvested from Numdam

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.

Publié le : 2014-01-01
DOI : https://doi.org/10.5802/ambp.344
Classification:  17B37,  22D25,  22A22
Mots clés: Algèbres de von Neumann, groupoïdes quantiques mesurés, paires assorties de groupoïdes
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     author = {Vallin, Jean-Michel},
     title = {Measured quantum groupoids associated with matched pairs of locally compact groupoids},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {21},
     year = {2014},
     pages = {81-133},
     doi = {10.5802/ambp.344},
     mrnumber = {3327862},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2014__21_2_81_0}
}
Vallin, Jean-Michel. Measured quantum groupoids associated with matched pairs of locally compact groupoids. Annales mathématiques Blaise Pascal, Tome 21 (2014) pp. 81-133. doi : 10.5802/ambp.344. http://gdmltest.u-ga.fr/item/AMBP_2014__21_2_81_0/

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