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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