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math.RA2021
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…
math.RA2020
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…