2 papers
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…
math.DS2024
Minimal covers with continuity-preserving transfer operators for topological dynamical systems
Kevin Aguyar Brix, Jeremy B. Hume, Xin Li
Given a non-invertible dynamical system with a transfer operator, we show there is a minimal cover with a transfer operator that preserves continuous functions. We also introduce a…