3 papers
math.DS2026
Paterson compactifications, inverse limits and shadowing for Deaconu-Renault systems
Daniel Gonçalves, Danilo Royer, Felipe Augusto Tasca
We develop a new metric and inverse-limit framework for Deaconu-Renault systems arising from local homeomorphisms between open subsets of locally compact zero-dimensional spaces. O…
math.OA2025
Relative ultragraph algebras and infinite interval maps
Ben-Hur Eidt, Daniel Gonçalves, Danilo Royer
In this paper, we introduce the notion of relative ultragraph algebras and extend classical injectivity criteria for representations, particularly those arising from branching syst…
math.DS2024
Nonwandering sets and the entropy of local homeomorphisms
Daniel Gonçalves, Danilo Royer, Felipe Augusto Tasca
A local homeomorphism between open subsets of a locally compact Hausdorff space induces dynamical systems with a wide range of applications, including in C*-algebras. In this paper…