19 citations · 96 across the 23 of their papers we have counts for
31 papers
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…
Leavitt path algebras of labelled graphs
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
A Leavitt labelled path algebra over a commutative unital ring is associated with a labelled space, generalizing Leavitt path algebras associated with graphs and ultragraphs as wel…
Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems
Gilles G. de Castro, Daniel Gonçalves, Daniel W. van Wyk
An ultragraph gives rise to a labelled graph with some particular properties. In this paper we describe the algebras associated to such labelled graphs as groupoid algebras. More p…
Chains in evolution algebras
Yolanda Cabrera Casado, Maria Inez Cardoso Gonçalves, Daniel Gonçalves +2
In this work we approach three-dimensional evolution algebras from certain constructions performed on two-dimensional algebras. More precisely, we provide four different constructi…
Shadowing, Finite Order Shifts and Ultrametric Spaces
Udayan B. Darji, Daniel Gonçalves, Marcelo Sobottka
Inspired by a recent novel work of Good and Meddaugh, we establish fundamental connections between shadowing, finite order shifts, and ultrametric complete spaces. We develop a the…
KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks
Felipe Augusto Tasca, Daniel Gonçalves
We extend ultragraph shift spaces and the realization of ultragraph C*-algebras as partial crossed products to include ultragraphs with sinks (under a mild condition, called (RFUM2…