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Classification of Cuntz-Krieger algebras
Authors:Mikael R?rdam
Institution:(1) Mathematics Institute, Odense Universitet, Campusvej 55, DK-5230 Odense M, Denmark
Abstract:A classification is given of the simple Cuntz-Krieger algebras 
$$\mathcal{O}_A$$
. It is proved that these algebras are classified up to stable isomorphism by their K0-group. Thus the sign of the determinant of 1 —A is not an isomorphism invariant. The (non-stabilized) isomorphism type of 
$$\mathcal{O}_A$$
is determined by K0( 
$$\mathcal{O}_A$$
) together with the position of the class of the unit of 
$$\mathcal{O}_A$$
.
Keywords:Cuntz-Krieger algebras  classification
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