J. Austral. Math. Soc.  72 (2002), 153-160
On graph C*-algebras

P. Goldstein
  School of Mathematics
  Cardiff University
  P.O. Box 926
  Cardiff CF24 4YH

Certain C*-algebras on generators and relations are associated to directed graphs. For a finite graph $\Gamma$, C*-algebra $\mathcal{O}_{\Gamma}$ is canonically isomorphic to Cuntz-Krieger algebra corresponding to the adjacency matrix of $\Gamma$. It is shown that if a countably infinite
graph $\Gamma$ is strongly connected, $\mathcal{O}_{\Gamma}$ is simple and purely infinite.

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