C⁎-algebras of extensions of groupoids by group bundles
Publication Name
Journal of Functional Analysis
Abstract
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. ⁎ ⁎ ⁎ ⁎ ⁎
Open Access Status
This publication is not available as open access
Volume
280
Issue
5
Article Number
108892
Funding Number
209277
Funding Sponsor
Office of Naval Research