%0 Journal Article
%T The matrix type of purely infinite simple Leavitt path algebras
%A Gene Abrams
%A Christopher Smith
%J Mathematics
%D 2009
%I arXiv
%X Let $R$ denote the purely infinite simple unital Leavitt path algebra $L(E)$. We completely determine the pairs of positive integers $(c,d)$ for which there is an isomorphism of matrix rings $M_c(R)\cong M_d(R)$, in terms of the order of $[1_R]$ in the Grothendieck group $K_0(R)$.
%U http://arxiv.org/abs/0909.3325v2