Classification of Cuntz-Krieger algebras |
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Authors: | Mikael R?rdam |
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Institution: | (1) Mathematics Institute, Odense Universitet, Campusvej 55, DK-5230 Odense M, Denmark |
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Abstract: | A classification is given of the simple Cuntz-Krieger algebras
. 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
is determined by K0(
) together with the position of the class of the unit of
. |
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Keywords: | Cuntz-Krieger algebras classification |
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