Continuous fields of C*-algebras and Lesieur's Quantum Groupoids

dc.creatorEnock, Michel
dc.date2006-05-18
dc.date2006-10-02
dc.date.accessioned2026-07-07T07:14:23Z
dc.date.available2026-07-07T07:14:23Z
dc.descriptionIn 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.
dc.descriptionThis paper had been withdrawn, and is now again available with some minor corrections
dc.identifierhttps://arxiv.org/abs/math/0605512
dc.identifierhttp://arxiv.org/abs/math/0605512
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112851
dc.subjectOperator Algebras
dc.subject46L89
dc.titleContinuous fields of C*-algebras and Lesieur's Quantum Groupoids
dc.typetext

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