3 papers
math.OA2026
On dense subalgebras of the singular ideal in groupoid C*-algebras
Julian Gonzales, Jeremy B. Hume
We prove that ideals in amenable second-countable non-Hausdorff étale groupoid -algebras are determined by their isotropy fibres. As an application, we characterise when the…
math.OA2026
Graph C*-algebras are singly generated
Jakub Curda, Julian Gonzales, Victor Wu
We show that the -algebra of a countable directed graph is singly generated. As a consequence, any -algebra generated by a countable family of projections and partial iso…
math.OA2025
On Hausdorff covers for non-Hausdorff groupoids
Kevin Aguyar Brix, Julian Gonzales, Jeremy B. Hume +1
We develop a new approach to non-Hausdorff étale groupoids and their algebras based on Timmermann's construction of Hausdorff covers. As an application, we completely characterise…