1 citations · 3 across the 14 of their papers we have counts for
5 papers · 1 filter
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…