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On a Cuntz-Krieger functor

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 نشر من قبل Igor Nikolaev V.
 تاريخ النشر 2010
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 تأليف Igor Nikolaev




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We construct a covariant functor from the topological torus bundles to the so-called Cuntz-Krieger algebras; the functor maps homeomorphic bundles into the stably isomorphic Cuntz-Krieger algebras. It is shown, that the K-theory of the Cuntz-Krieger algebra encodes torsion of the first homology group of the bundle. We illustrate the result by examples.



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