Relative topological principality and the ideal intersection property for groupoid C*-algebras

Chris J. Eagle, Gavin Goerke, Marcelo Laca

We introduce the notion of relative topological principality for a family $\{H_{\hat{I}}\pm \}$ of open subgroupoids of a Hausdorff étale groupoid $G$. The C*-algebras $C_r^{\ast }(H_{\hat{I}}\pm )$ of the g…