Nonstable K-theory for Graph Algebras

@article{Ara2004NonstableKF,
  title={Nonstable K-theory for Graph Algebras},
  author={P. Ara and M. Moreno and E. Pardo},
  journal={Algebras and Representation Theory},
  year={2004},
  volume={10},
  pages={157-178}
}
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 $\mathbb C$ of complex numbers, the algebra $L_{\mathbb C}(E)$ is a dense subalgebra of the graph C*-algebra C*(E… Expand
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