Continuous fields of C*-algebras and Lesieur's Quantum Groupoids
Operator Algebras
2007-05-23 v3
Abstract
In two articles ([L2], [L3]), Franck Lesieur had introduced a notion of quantum groupoid, in the setting of von Neumann algebras, using intensively the notion of pseudo-multiplicative unitary, which had been introduced in a previous article of the author, in collaboration with Jean-Michel Vallin [EV]. We are here studying the analog of Lesieur's construction in a C*-framework, when the basis of the quantum groupoid is central; in this case, the C* structure obtained can be described using the tools of continuous fields of C*-algebras. This allows us to re-use as quantum groupoids some examples introduced by Etienne Blanchard.
Keywords
Cite
@article{arxiv.math/0605512,
title = {Continuous fields of C*-algebras and Lesieur's Quantum Groupoids},
author = {Michel Enock},
journal= {arXiv preprint arXiv:math/0605512},
year = {2007}
}
Comments
This paper had been withdrawn, and is now again available with some minor corrections