On a Cuntz-Krieger functor

Details On a Cuntz-Krieger functor On a Cuntz-Krieger functor

2008-09-24

arxiv.org/abs/0809.4067v2

New Zealand J. Math. 39 (2009), 165-169

Mathematics

Operator Algebras

6 pages; to appear New Zealand J. Math.

Scientific paper

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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