# 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} }

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…

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