7 citations · 36 across the 22 of their papers we have counts for
28 papers
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…
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…
Properties of the gradings on ultragraph algebras via the underlying combinatorics
Daniel Gonçalves, Danilo Royer
There are two established gradings on Leavitt path algebras associated with ultragraphs, namely the grading by the integers group and the grading by the free group on the edges. In…
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…
Representations of C*-algebras of row-countable graphs and unitary equivalence
Ben hur Eidt, Danilo Royer
In this article we show that there are branching systems (which induce representations of the graph algebra ) associated to each row-countable graph . For row-countable…