  We show that if $(A,G,\alpha)$ is a groupoid dynamical system with $A$
continuous trace, then the crossed product $A\rtimes_{\alpha}G$ 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.
