Title: The generalized Effros-Hahn conjecture for groupoids

Authors: Marius Ionescu and Dana Williams

Issue: Volume 58 (2009), Issue 6, 2489-2508

Abstract: The generalized Effros-Hahn conjecture for groupoid $C^{*}$-algebras says that, if $G$ is amenable, then every primitive ideal of the groupoid $C^{*}$-algebra $C^{*}(G)$ is induced from a stability group. We prove that the conjecture is valid for all second countable amenable locally compact Hausdorff groupoids. Our results are a sharpening of previous work of Jean Renault and depend significantly on his results.