• Corpus ID: 235765413

The ideal intersection property for essential groupoid C*-algebras

  title={The ideal intersection property for essential groupoid C*-algebras},
  author={Matthew Kennedy and Se-Jin Kim and Xin Li and Sven Raum and Dan Ursu},
We characterise, in several complementary ways, étale groupoids with locally compact Hausdorff space of units whose essential groupoid C∗-algebra has the ideal intersection property, assuming that the groupoid is either Hausdorff or σ-compact. This leads directly to a characterisation of the simplicity of this C∗-algebra which, for Hausdorff groupoids, agrees with the reduced groupoid C∗-algebra. Specifically, we prove that the ideal intersection property is equivalent to the absence of… 
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