The Generalized Effros-Hahn Conjecture for Groupoids

2008/07/29 by Ionescu, Marius, Williams, Dana P. · 1 citation
#46L05 #46L55 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0807.4683

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.

Cited by

• On dense subalgebras of the singular ideal in groupoid C*-algebras

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