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
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.