On a Cuntz-Krieger functor
نویسنده
چکیده
Let M be a torus bundle, i.e. an (n + 1)-dimensional manifold, which fibers over the circle with the fiber an n-dimensional torus. A covariant functor from M to the Cuntz-Krieger algebra (a C∗-algebra) is constructed. The functor maps homeomorphic torus bundles to the stably isomorphic Cuntz-Krieger algebras. It is shown that in general the K-theory of the Cuntz-Krieger algebra counts the torsion of the first homology of M.
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