2 papers
math.OA2024
A Categorical Interpretation of Continuous Orbit Equivalence for Partial Dynamical Systems
Gilles G. de Castro, Eun Ji Kang
We define the orbit morphism of partial dynamical systems and prove that an orbit morphism being an isomorphism in the category of partial dynamical systems and orbit morphisms is…
math.RA2024
Ideals of étale groupoid algebras with coefficients in a sheaf with applications to topological dynamics
Gilles G. de Castro, Daniel Gonçalves, Benjamin Steinberg
We prove the Effros-Hahn conjecture for groupoid algebras with coefficients in a sheaf, obtaining as a consequence a description of the ideals in skew inverse semigroup rings. We a…