The Generalized Effros-Hahn Conjecture for Groupoids
Operator Algebras
2008-10-31 v2
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.
Keywords
Cite
@article{arxiv.0807.4683,
title = {The Generalized Effros-Hahn Conjecture for Groupoids},
author = {Marius Ionescu and Dana P. Williams},
journal= {arXiv preprint arXiv:0807.4683},
year = {2008}
}
Comments
16 Pages. Minor changes as suggested by a referee. To appear in the Indiana University Mathematics Journal