# A stabilization theorem for Fell bundles over groupoids

@article{Ionescu2015AST,
title={A stabilization theorem for Fell bundles over groupoids},
author={Marius Ionescu and Alex Kumjian and Aidan Sims and Dana P. Williams},
journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics},
year={2015},
volume={148},
pages={79 - 100}
}
• Published 18 December 2015
• Mathematics
• Proceedings of the Royal Society of Edinburgh: Section A Mathematics
We study the C *-algebras associated with upper semi-continuous Fell bundles over second-countable Hausdorff groupoids. Based on ideas going back to the Packer–Raeburn ‘stabilization trick’, we construct from each such bundle a groupoid dynamical system whose associated Fell bundle is equivalent to the original bundle. The upshot is that the full and reduced C *-algebras of any saturated upper semi-continuous Fell bundle are stably isomorphic to the full and reduced crossed products of an…
We investigate some consequences of a recent stabilization result of Ionescu, Kumjian, Sims, and Williams, which says that every Fell bundle C∗-algebra is Morita equivalent to a canonical groupoid
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