On a Cuntz-Krieger functor
Operator Algebras
2011-02-21 v2 Geometric Topology
Abstract
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.
Cite
@article{arxiv.0809.4067,
title = {On a Cuntz-Krieger functor},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:0809.4067},
year = {2011}
}
Comments
6 pages; to appear New Zealand J. Math.