Poincare isomorphism in K-theory on manifolds with edges
K-Theory and Homology
2011-11-08 v1 Analysis of PDEs
Operator Algebras
Abstract
The aim of this paper is to construct the Poincare isomorphism in K-theory on manifolds with edges. We show that the Poincare isomorphism can naturally be constructed in the framework of noncommutative geometry. More precisely, to a manifold with edges we assign a noncommutative algebra and construct an isomorphism between the K-group of this algebra and the K-homology group of the manifold with edges viewed as a compact topological space.
Keywords
Cite
@article{arxiv.0711.4379,
title = {Poincare isomorphism in K-theory on manifolds with edges},
author = {V. E. Nazaikinskii and A. Yu. Savin and B. Yu. Sternin},
journal= {arXiv preprint arXiv:0711.4379},
year = {2011}
}
Comments
15 pages, no figures