activity
20242026
most citedThe socle of subshift algebras, with applications to subshift conjugacy

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 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…

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…

math.RA2024★ 1 cited

The socle of subshift algebras, with applications to subshift conjugacy

Daniel Gonçalves, Danilo Royer

We introduce the concept of "irrational paths" for a given subshift and use it to characterize all minimal left ideals in the associated unital subshift algebra. Consequently, we c…