%0 Journal Article 
%A Ara, P.
%A Moreno Frías, María Ángeles
%A Pardo Espino, Enrique
%T Nonstable K-Theory for graph algebras
%D 2007
%@ 1386-923X
%U http://hdl.handle.net/10498/16090
%X We compute the monoid V (LK(E)) of isomorphism classes of finitely generated
projective modules over certain graph algebras LK(E), and we show that this monoid satisfies
the refinement property and separative cancellation. We also show that there is a natural
isomorphism between the lattice of graded ideals of LK(E) and the lattice of order-ideals
of V (LK(E)). When K is the field C of complex numbers, the algebra LC(E) is a dense
subalgebra of the graph C -algebra C (E), and we show that the inclusion map induces an
isomorphism between the corresponding monoids. As a consequence, the graph C*-algebra
of any row-finite graph turns out to satisfy the stable weak cancellation property
%~ Universidad de Cádiz