Continuous-Trace Groupoid Crossed Products

Details Continuous-Trace Groupoid Crossed Products Continuous-Trace Groupoid Crossed Products

2002-07-11

arxiv.org/abs/math/0207092v1

Mathematics

Operator Algebras

11 pages

Scientific paper

Let $G$ be a second countable, locally compact groupoid with Haar system, and
let $\mathcal{A}$ be a bundle of $C^{\ast}$-algebras defined over the unit
space of $G$ on which $G$ acts continuously. We determine conditions under
which the associated crossed product $C^{\ast}(G;\mathcal{A})$ is a continuous
trace $C^{\ast}$-algebra.

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