Properties of the boundary map in cyclic cohomology, by Victor Nistor

We show that the boundary map in periodic cyclic cohomology introduced by Cuntz and Quillen satisfies properties similar to the properties of the boundary map in simplicial homology. We also prove that the boundary map is compatible with the boundary map in algebraic and topological K-Theory, which leads to index theorems. As an application we obtain a new proof of the Connes-Moscovici index theorem for coverings.


Victor Nistor <nistor@math.psu.edu>