2006/05/18 by Michel Enock, Enock, Michel
Mathematics · #46L89 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L89
paper · pdf · doi:10.48550/arxiv.math/0605512
This paper had been withdrawn, and is now again available with some minor corrections
arxiv created 2006/10/02 · arxiv updated 2009/12/01
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.