ON THE POINCARE ISOMORPHISM IN K-THEORY ON MANIFOLDS WITH EDGES

摘要

In this paper, the Poincare isomorphism in K-theory on manifolds with edges is constructed. It is shown that the Poincare isomorphism can be naturally constructed in terms of noncom-mutative geometry. More precisely, we obtain a correspondence between a manifold with edges and a noncommutative algebra and establish an isomorphism between the K-group of this algebra and the K-homology group of the manifold with edges, which is considered as a compact topological space.