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arXiv · 1309.1115

Groupoid Crossed Products of Continuous-Trace C*-Algebras

Erik van Erp·Dana P. Williams
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Abstract

We show that if $(A,G,α)$ is a groupoid dynamical system with $A$ continuous trace, then the crossed product $A\rtimes_αG$ is Morita equivalent to the C*-algebra $C*(\underline G,\underline E)$ of a twist $\underline E$ over a groupoid $\underline G$ equivalent to $G$. This is a groupoid analogue of the well known result for the crossed product of a group acting on an elementary C*-algebra.

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Erik van Erp, Dana P. Williams. 2014-01-14. Groupoid Crossed Products of Continuous-Trace C*-Algebras. https://arxiv.org/abs/1309.1115

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