Secondary invariants for Frechet algebras and quasihomomorphisms
Abstract
Description
A Frechet algebra endowed with a multiplicatively convex topology has two types of invariants: homotopy invariants (topological K-theory and periodic cyclic homology) and secondary invariants (multiplicative K-theory and the non-periodic versions of cyclic homology). The aim of this paper is to establish a Riemann-Roch-Grothendieck theorem relating direct images for homotopy and secondary invariants of Frechet m-algebras under finitely summable quasihomomorphisms.
80 pages. v1: This is essentially the first part of the preprint arXiv:0706.1937, with improvements. v2: minor corrections, almost the published version
80 pages. v1: This is essentially the first part of the preprint arXiv:0706.1937, with improvements. v2: minor corrections, almost the published version