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papers

Publications (32)

math.OA2017

Infinite alphabet edge shift spaces via ultragraphs and their C*-algebras

Daniel GonÃ§alves, Danilo Royer

We define a notion of (one-sided) edge shift spaces associated to ultragraphs. In the finite case our notion coincides with the edge shift space of a graph. In general, we show tha…

math.DS2024

Nonwandering sets and the entropy of local homeomorphisms

Daniel GonÃ§alves, 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.DS2015

Ultragraphs and shifts spaces over infinite alphabets

Daniel GonÃ§alves, Danilo Royer

In this paper we further develop the theory of one sided shift spaces over infinite alphabets, characterizing one-step shifts as edge shifts of ultragraphs and partially answering…

math.OA2014

Graph C*-algebras, branching systems and the Perron-Frobenius operator

Danilo Royer, Daniel GonÃ§alves

In this paper we show how to produce a large number of representations of a graph C*-algebra in the space of the bounded linear operators in $L^{2} (X, I^¼)$ . These representations are…

math.OA2025

Relative ultragraph algebras and infinite interval maps

Ben-Hur Eidt, Daniel GonÃ§alves, 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.RA2024

The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets

Dirceu Bagio, CristÃ³bal Gil Canto, Daniel GonÃ§alves +1

Let $R$ be a commutative unital ring, $X$ a subshift, and $A_{R} (X)$ the corresponding unital subshift algebra. We establish the reduction the…