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arxiv: 1301.6883 · v1 · pith:NLACURLBnew · submitted 2013-01-29 · 🧮 math.OA

On Nuclearity of C^*-algebras of Fell bundles over \'etale groupoids

classification 🧮 math.OA
keywords fellalgebrasbundlesetalenuclearamenablebundlecompact
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In this paper, we show that if E is a Fell bundle over an amenable \'etale locally compact Hausdorff groupoid such that every fiber on the unit space is nuclear, then $C?^*r(E)$ is also nuclear. In order to show this result, we introduce (minimal) tensor products of Fell bundles with fixed $C^*$-algebras.

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