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math.OA2025
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 s…
math.OA2025
Characterizations of zero singular ideal in étale groupoid C*-algebras via compressible maps
Jeremy B. Hume
We show the singular ideal in a non-Hausdorff étale groupoid C*-algebra is zero if and only if every unit is contained, at the level of group representation theory, in the collecti…
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…