Deformation of finite dimensional C*-quantum groupoids - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2003

Deformation of finite dimensional C*-quantum groupoids

Résumé

In this work we prove, in full details, that any finite dimensional $C^*$-quantum groupoid can be deformed in order that the square of the antipode is the identity on the base. We also prove that for any $C^*$-quantum groupoid with non abelian base, there is uncountably many $C^*$-quantum groupoids with the same underlying algebra structure but which are not isomorphic to it. In fact, the $C^*$-quantum groupoids are closed in an analog of the procedure presented by D.Nikshych ([N] 3.7) in a more general situation.

Dates et versions

hal-00018859 , version 1 (10-02-2006)

Identifiants

Citer

Jean-Michel Vallin. Deformation of finite dimensional C*-quantum groupoids. 2003. ⟨hal-00018859⟩
29 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More