Deformation of finite dimensional C*-quantum groupoids
Quantum Algebra
2007-05-23 v1
Abstract
In this work we prove, in full details, that any finite dimensional -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 -quantum groupoid with non abelian base, there is uncountably many -quantum groupoids with the same underlying algebra structure but which are not isomorphic to it. In fact, the -quantum groupoids are closed in an analog of the procedure presented by D.Nikshych ([N] 3.7) in a more general situation.
Keywords
Cite
@article{arxiv.math/0310265,
title = {Deformation of finite dimensional C*-quantum groupoids},
author = {Jean-Michel Vallin},
journal= {arXiv preprint arXiv:math/0310265},
year = {2007}
}