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arXiv · 1711.03013

Morita enveloping Fell bundles

Fernando Abadie·Alcides Buss·Damián Ferraro
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Abstract

We introduce notions of weak and strong equivalence for non-saturated Fell bundles over locally compact groups and show that every Fell bundle is strongly (resp. weakly) equivalent to a semidirect product Fell bundle for a partial (resp. global) action. Equivalences preserve cross-sectional $C^*-$algebras and amenability. We use this to show that previous results on crossed products and amenability of group actions carry over to Fell bundles.

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Fernando Abadie, Alcides Buss, Damián Ferraro. 2017-11-08. Morita enveloping Fell bundles. https://doi.org/10.1007/s00574-018-0088-6

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