Tannaka-Krein reconstruction for coactions of finite quantum groupoids

Leonid Vainerman (1) , Jean-Michel Vallin (2)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We study coactions of finite quantum groupoids on unital C *-algebras and obtain a Tannaka-Krein reconstruction theorem for them.

Mots clés: Coactions and corepresentations of quantum groupoids; Reconstruction theorem; C*-categories

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

Leonid Vainerman, Jean-Michel Vallin. Tannaka-Krein reconstruction for coactions of finite quantum groupoids. Methods in functional analysis and topology, 2017, 23 (1), pp.76-107. ⟨hal-02143671⟩