The generalized Effros-Hahn conjecture for groupoids
Marius IonescuDana Williams
46L5546L0522A22groupoidEffros-Hahn conjecturegroupoid dynamical systeminduced primitive ideal
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.
Indiana University Mathematics Journal
2009
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10.1512/iumj.2009.58.3746
10.1512/iumj.2009.58.3746
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Indiana Univ. Math. J. 58 (2009) 2489 - 2508
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