The Dixmier-Douady classes of certain groupoid C*-algebras with continuous trace

Authors

Marius Ionescu, United States Naval Academy
Alexander Kumjian, University of NevadaFollow
Aidan Sims, University of WollongongFollow
Dana P. Williams, Dartmouth CollegeFollow

RIS ID

136254

Publication Details

Ionescu, M., Kumjian, A., Sims, A. & Williams, D. P. (2019). The Dixmier-Douady classes of certain groupoid C*-algebras with continuous trace. Journal of Operator Theory, 81 (2), 407-431.

Abstract

Given a locally compact abelian group G, we give an explicit formula for the Dixmier-Douady invariant of the C*-algebra of the groupoid extension associated to a Ĉech 2-cocycle in the sheaf of germs of continuous G-valued functions. We then exploit the blow-up construction for groupoids to extend this to some more general central extensions of étale equivalence relations.

Grant Number

ARC/DP150101595