Continuous fields of C*-algebras and Lesieur's Quantum Groupoids
Abstract
Description
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.
This paper had been withdrawn, and is now again available with some minor corrections
This paper had been withdrawn, and is now again available with some minor corrections