The Dixmier-Douady Classes of Certain Groupoid $C^*$-Algebras with Continuous Trace
Operator Algebras
2018-01-04 v1
Abstract
Given a locally compact abelian group , we give an explicit formula for the Dixmier--Douady invariant of the -algebra of the groupoid extension associated to a \v{C}ech -cocycle in the sheaf of germs of continuous -valued functions. We then exploit the blow-up construction for groupoids to extend this to some more general central extensions of \'etale equivalence relations.
Keywords
Cite
@article{arxiv.1801.00832,
title = {The Dixmier-Douady Classes of Certain Groupoid $C^*$-Algebras with Continuous Trace},
author = {Marius Ionescu and Alex Kumjian and Aidan Sims and Dana P. Williams},
journal= {arXiv preprint arXiv:1801.00832},
year = {2018}
}