Cuntz-Krieger algebras of infinite graphs and matrices

@inproceedings{Raeburn2004CuntzKriegerAO,
  title={Cuntz-Krieger algebras of infinite graphs and matrices},
  author={Iain Raeburn and Wojciech Szyma'nski},
  year={2004}
}
We show that the Cuntz-Krieger algebras of infinite graphs and infinite {0,1}-matrices can be approximated by those of finite graphs. We then use these approximations to deduce the main uniqueness theorems for Cuntz-Krieger algebras and to compute their K-theory. Since the finite approximating graphs have sinks, we have to calculate the K-theory of Cuntz-Krieger algebras of graphs with sinks, and the direct methods we use to do this should be of independent interest. 

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