1 citations · 3 across the 14 of their papers we have counts for
18 papers
The uniform dimension of a monoid with applications to graph algebras
Luiz Gustavo Cordeiro, Daniel Gonçalves, Roozbeh Hazrat
We adapt Goldie's concept of uniform dimensions from module theory over rings to -monoids. A -monoid is said to have uniform dimension if is the largest number of…
Hopf algebras and associative representations of two-dimensional evolution algebras
Yolanda Cabrera Casado, María Inez Cardoso Gonçalves, Daniel Gonçalves +3
In this paper, we establish a connection between evolution algebras of dimension two and Hopf algebras, via the algebraic group of automorphisms of an evolution algebra. Initially,…
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…
C*-Algebras of one-sided subshifts over arbitrary alphabets
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
We associate a C*-algebra with a subshift over an arbitrary, possibly infinite, alphabet. We show that …
Irreducible representations of one-sided subshift algebras
Daniel Gonçalves, Danilo Royer
Given a subshift over an arbitrary alphabet, we construct a representation of the associated unital algebra. We describe a criteria for the faithfulness of this representation in t…
The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets
Dirceu Bagio, Cristóbal Gil Canto, Daniel Gonçalves +1
Let be a commutative unital ring, a subshift, and the corresponding unital subshift algebra. We establish the reduction the…
Shadowing for local homeomorphisms, with applications to edge shift spaces of infinite graphs
Daniel Gonçalves, Bruno Brogni Uggioni
In this paper, we develop the basic theory of the shadowing property for local homeomorphisms of metric locally compact spaces, with a focus on applications to edge shift spaces co…
Entropy of local homeomorphisms with applications to infinite alphabet shift spaces
Daniel Gonçalves, Danilo Royer, Felipe Augusto Tasca
In this paper, we introduce topological entropy for dynamical systems generated by a single local homeomorphism (Deaconu-Renault systems). More precisely, we generalize Adler, Konh…
The ideal structure of partial skew groupoid rings with applications to topological dynamics and ultragraph algebras
Dirceu Bagio, Daniel Gonçalves, Paula Savana Estácio Moreira +1
Given a partial action of a groupoid on a ring , we study the associated partial skew groupoid ring , which carries a natural -grading. We show that th…
Algebras of one-sided subshifts over arbitrary alphabets
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
We introduce two algebras associated with a subshift over an arbitrary alphabet. One is unital and the other not necessarily. We focus on the unital case and describe a conjugacy b…
The graded structure of Leavittt path algebras viewed as partial skew group rings
Daniel Gonçalves, Laura Orozco, Héctor Pinedo
Let be a directed graph, be a field, and be the free group on the edges of . In this work, we use the isomorphism between Leavitt path algebras and p…
A note on the regular ideals of Leavitt path algebras
Daniel Gonçalves, Danilo Royer
We show that, for an arbitrary graph, a regular ideal of the associated Leavitt path algebra is also graded. As a consequence, for a row-finite graph, we obtain that the quotient o…
The talented monoid of a directed graph with applications to graph algebras
Luiz Gustavo Cordeiro, Daniel Gonçalves, Roozbeh Hazrat
It is a conjecture that for the class of Leavitt path algebras associated to finite directed graphs, their graded Grothendieck groups are a complete invariant.…
Li-Yorke chaos for ultragraph shift spaces
Daniel Gonçalves, Bruno Brogni Uggioni
Recently, in connection with C*-algebra theory, the first author and Danilo Royer introduced ultragraph shift spaces. In this paper we define a family of metrics for the topology i…
Representations of relative Cohn path algebras
Cristóbal Gil Canto, Daniel Gonçalves
We study relative Cohn path algebras, also known as Leavitt-Cohn path algebras, and we realize them as partial skew group rings (to do this we prove uniqueness theorems for relativ…
Infinite alphabet edge shift spaces via ultragraphs and their C*-algebras
Daniel Gonçalves, 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…
Branching Systems and General Cuntz-Krieger Uniqueness Theorem for Ultragraph C*-algebras
Daniel Gonçalves, Hui Li, Danilo Royer
We give a notion of branching systems on ultragraphs. From this we build concrete representations of ultragraph C*-algebras on the bounded linear operators of Hilbert spaces. To ea…
Branching systems and representations of Cohn-Leavitt path algebras of separated graphs
Daniel Gonçalves, Danilo Royer
We construct for each separated graph (E;C) a family of branching systems over a set X and show how each branching system induces a representation of the Cohn-Leavitt path algebra…