3 papers
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.OA2024
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…
math.OA2022
Free actions of groups on separated graph C*-algebras
Pere Ara, Alcides Buss, Ado Dalla Costa
In this paper we study free actions of groups on separated graphs and their \cstar{}algebras, generalizing previous results involving ordinary (directed) graphs. We prove a version…