3 papers
math.OA2026
Residual finite-dimensionality of ultragraph algebras via branching systems
Daniel Gonçalves, Danilo Royer
We study residual finite-dimensionality for ultragraph algebras, both in the algebraic and in the C-star-algebraic settings. We introduce graph-theoretic RFD conditions for ultragr…
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…