Document Type
Journal Article
RIS ID
18850
Citation
Raeburn, Iain F. and Szymanski, Wojciech, 2004, Cuntz-Krieger Algebras of Infinite Graphs and Matrices, Transactions of the American Mathematical Society, 356(1), 39-59.
http://ro.uow.edu.au/era/355
Abstract
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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