C *-algebras of extensions of groupoids by group bundles
Résumé
Given a normal subgroup bundle A of the isotropy bundle of a groupoid Σ, we obtain a twisted action of the quotient groupoid Σ/A on the bundle of group C *-algebras determined by A whose twisted crossed product recovers the groupoid C *-algebra C * (Σ). Restricting to the case where A is abelian, we describe C * (Σ) as the C *-algebra associated to a T-groupoid over the tranformation groupoid obtained from the canonical action of Σ/A on the Pontryagin dual space of A. We give some illustrative examples of this result.
Domaines
Algèbres d'opérateurs [math.OA]| Origine | Fichiers produits par l'(les) auteur(s) |
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