The Generalized Effros-Hahn Conjecture for Groupoids

Details The Generalized Effros-Hahn Conjecture for Groupoids The Generalized Effros-Hahn Conjecture for Groupoids

2008-07-29

arxiv.org/abs/0807.4683v2

Mathematics

Operator Algebras

16 Pages. Minor changes as suggested by a referee. To appear in the Indiana University Mathematics Journal

Scientific paper

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.

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