3 papers
math.OA2026
An introduction to separated graphs and their type semigroups
Pere Ara
We introduce -algebras associated with directed graphs, along with two generalizations of this concept, namely Exel-Pardo -algebras associated with a self-similar action…
math.RA2025
The Leavitt inverse semigroup of a separated graph
Pere Ara, Alcides Buss, Ado Dalla Costa
We introduce and study a new inverse semigroup associated to a separated graph , which we call the \emph{Leavitt inverse semigroup}. This semigroup is obtained as a quotient…
math.OA2025
Inverse semigroups of separated graphs and associated algebras
Pere Ara, Alcides Buss, Ado Dalla Costa
In this paper we introduce an inverse semigroup associated to a separated graph and describe its internal structure. In particular we show that it is str…