A Chern Character in Cyclic Homology

Infinitesimal Cohomology and the Chern Character to Negative Cyclic Homology

There is a Chern character from K-theory to negative cyclic homology. We show that it preserves the decomposition coming from Adams operations, at least in characteristic zero.

Equivariant Local Cyclic Homology and the Equivariant Chern-Connes Character

We define and study equivariant analytic and local cyclic homology for smooth actions of totally disconnected groups on bornological algebras. Our approach contains equivariant entire cyclic cohomology in the sense of Klimek, Kondracki and Lesniewski as a special case and provides an equivariant extension of the local cyclic theory developped by Puschnigg. As a main result we construct a multip...

Connes-Chern character in relative K-homology

Lecture 1 (Pflaum): Title: Relative cohomology and its pairings Relative cyclic cohomology theory and its pairings turned out to be a powerful tool to explain crucial properties of certain invariants in global analysis such as for example the divisor flow. In this talk, the homological foundations for pairings in relative cyclic cohomology will be explained. Moreover, the relative Chern-charact...

Brs-chern-simons Forms and Cyclic Homology

We use some BRS techniques to construct Chern-Simons forms generalizing the Chern character of K1 groups in the Cuntz-Quillen description of cyclic homology. MSC91: 19D55, 81T13, 81T50

Chow Homology and Chern Classes