P. Ara

activity

19992005

K

-theory for graph algebras

1 citations · 1 across the 4 of their papers we have counts for

collaborators

Showing math.RAShow all

7 papers · 1 filter

math.RA2004★ 1 cited

Nonstable $K$ -theory for graph algebras

P. Ara, M. A. Moreno, E. Pardo

We compute the monoid $V (L_{K} (E))$ of isomorphism classes of finitely generated projective modules over certain graph algebras $L_{K} (E)$ , and we show that this monoid satisfies the r…

math.RA2003

Stable rank of corner rings

P. Ara, K. R. Goodearl

B. Blackadar recently proved that any full corner $p A p$ in a unital C*-algebra $A$ has K-theoretic stable rank greater than or equal to the stable rank of $A$ . (Here $p$ is a proje…

math.RA2003

Fractional skew monoid rings

P. Ara, M. A. Gonzalez-Barroso, K. R. Goodearl +1

Given an action of a monoid $T$ on a ring $A$ by ring endomorphisms, and an Ore subset $S$ of $T$ , a general construction of a fractional skew monoid ring $S^{op} * A * T$ is g…

math.RA2001

$K_{0}$ of purely infinite simple regular rings

P. Ara, K. R. Goodearl, E. Pardo

We extend the notion of a purely infinite simple C*-algebra to the context of unital rings, and we study its basic properties, specially those related to K-Theory. For instance, if…

math.RA2001

Extensions and Pullbacks in QB-rings

Pere Ara, Gert K. Pedersen, Francesc Perera

We prove a new extension result for $QB -$ rings that allows us to examine extensions of rings where the ideal is purely infinite and simple. We then use this result to explore vario…

math.RA1999

An infinite analogue of rings with stable rank one