### 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>