- Title
- Cuntz-Kreiger algebras of infinite graphs and matrices
- Creator
- Raeburn, Iain; Szymanski, Wojciech
- Relation
- Transactions of the American Mathematical Society Vol. 356, Issue 1, p. 39-59
- Publisher Link
- http://dx.doi.org/10.1090/S0002-9947-03-03341-5
- Publisher
- American Mathematical Society
- Resource Type
- journal article
- Date
- 2003
- Description
- 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.
- Subject
- Cuntz-Krieger algebras; finite graphs; infinite graphs; K-theory
- Identifier
- http://hdl.handle.net/1959.13/27610
- Identifier
- uon:1836
- Identifier
- ISSN:0002-9947
- Language
- eng
- Full Text
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