RT journal article
T1 Nonstable K-Theory for graph algebras
A1 Ara, P.
A1 Moreno Frías, María Ángeles
A1 Pardo Espino, Enrique
A2 Matemáticas
AB We compute the monoid V (LK(E)) of isomorphism classes of finitely generatedprojective modules over certain graph algebras LK(E), and we show that this monoid satisfiesthe refinement property and separative cancellation. We also show that there is a naturalisomorphism between the lattice of graded ideals of LK(E) and the lattice of order-idealsof V (LK(E)). When K is the field C of complex numbers, the algebra LC(E) is a densesubalgebra of the graph C -algebra C (E), and we show that the inclusion map induces anisomorphism between the corresponding monoids. As a consequence, the graph C*-algebraof any row-finite graph turns out to satisfy the stable weak cancellation property
SN 1386-923X
YR 2007
FD 2007-01-01T00:00:00Z
LK http://hdl.handle.net/10498/16090
UL http://hdl.handle.net/10498/16090
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026