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Alcides Buss, Diego Martínez, Approximation properties of Fell bundles over inverse semigroups, non-Hausdorff groupoids , Adv · 2023

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Essential groupoid amenability and nuclearity of groupoid C*-algebras

math.OA · 2025-01-03 · conditional · novelty 6.0

For non-Hausdorff étale groupoids with countable bisection covers, reduced C*-algebra nuclearity is equivalent to groupoid amenability, and nuclearity of the essential C*-algebra implies a new strictly weaker essential amenability.

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  • Essential groupoid amenability and nuclearity of groupoid C*-algebras math.OA · 2025-01-03 · conditional · none · ref 8

    For non-Hausdorff étale groupoids with countable bisection covers, reduced C*-algebra nuclearity is equivalent to groupoid amenability, and nuclearity of the essential C*-algebra implies a new strictly weaker essential amenability.