Miquel Brustenga

most cited

K

-theory of Leavitt path algebras

42 citations · 53 across the 4 of their papers we have counts for

collaborators

4 papers

math.RA2009★ 5 cited

Mixed quiver algebras

Pere Ara, Miquel Brustenga

In this paper we introduce a new class of $K$ -algebras associated with quivers. Given any finite chain $K_{r} : K = K_{0} \subseteq K_{1} \subseteq ... \subseteq K_{r}$ of fields and a…

math.RA2009★ 6 cited

Module theory over Leavitt path algebras and $K$ -theory

Pere Ara, Miquel Brustenga

Let $k$ be a field and let $E$ be a finite quiver. We study the structure of the finitely presented modules of finite length over the Leavitt path algebra $L_{k} (E)$ and show its cl…

math.KT2009★ 42 cited

$K$ -theory of Leavitt path algebras

Pere Ara, Miquel Brustenga, Guillermo Cortiñas

Let $E$ be a row-finite quiver and let $E_{0}$ be the set of vertices of $E$ ; consider the adjacency matrix $N_{E}^{'} = (n_{ij}) \in Z^{(E_{0} \times E_{0})}$ , $n_{ij}=#\{$ arrows from $i$ to $j…

math.RA2006

The regular algebra of a quiver

Pere Ara, Miquel Brustenga

Let $K$ be a fixed field. We attach to each column-finite quiver $E$ a von Neumann regular $K$ -algebra $Q (E)$ in a functorial way. The algebra $Q (E)$ is a universal localization of…

Mixed quiver algebras

Module theory over Leavitt path algebras and K-theory

K-theory of Leavitt path algebras

The regular algebra of a quiver

Module theory over Leavitt path algebras and $K$ -theory

$K$ -theory of Leavitt path algebras