Measured Quantum Groupoids Associated with Matched Pairs of Locally Compact Groupoids

Jean-Michel Vallin (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

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.

Domaines: Algèbres d'opérateurs [math.OA]; Algèbres quantiques [math.QA]

Jean-Michel Vallin. Measured Quantum Groupoids Associated with Matched Pairs of Locally Compact Groupoids. Annales Mathématiques Blaise Pascal, 2014, 21 (2), page 81. ⟨hal-00446147⟩