Computing K-theory and Ext for graph C*-algebras

Details Computing K-theory and Ext for graph C*-algebras Computing K-theory and Ext for graph C*-algebras

2001-03-06

arxiv.org/abs/math/0103036v1

Mathematics

Operator Algebras

Scientific paper

K-theory and Ext are computed for the C*-algebra C*(E) of any countable directed graph E. The results generalize the K-theory computations of Raeburn and Szymanski and the Ext computations of Tomforde for row-finite graphs. As a consequence, it is shown that if A is a countable {0,1} matrix and E_A is the graph obtained by viewing A as a vertex matrix, then C*(E_A) is not necessarily Morita equivalent to the Exel-Laca algebra O_A.

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