47 citations · 332 across the 53 of their papers we have counts for
59 papers
Dynamics on graphs with disjoint cycles and applications
Pere Ara, Tran Quang Do, Tran Giang Nam
In this article, we introduce the notion of connected finite graphs with disjoint cycles in normal form and show that any such graph can be transformed into a normal form graph via…
The Cuntz semigroup of a ring
Ramon Antoine, Pere Ara, Joan Bosa +2
For any ring , we introduce an invariant in the form of a partially ordered abelian semigroup built from an equivalence relation on the class of countably genera…
A correspondence between surjective local homeomorphisms and a family of separated graphs
Pere Ara, Joan Claramunt
We present a graph-theoretic model for dynamical systems given by a surjective local homeomorphism on a totally disconnected compact metrizable space . In order to m…
Leavitt path algebras of weighted and separated graphs
Pere Ara
In this paper we show that Leavitt path algebras of weighted graphs and Leavitt path algebras of separated graphs are intimately related. We prove that any Leavitt path algebra $L(…
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…
Approximating the group algebra of the lamplighter by infinite matrix products
Pere Ara, Joan Claramunt
In this paper, we introduce a new technique in the study of the -regular closure of some specific group algebras inside , the -algebra of unbounded opera…