Secondary invariants for Frechet algebras and quasihomomorphisms
Denis Perrot
Université de Lyon Université Lyon 1 CNRS, UMR 5208 Institut Camille Jordan 43, bd du 11 novembre 1918 69622 Villeurbanne Cedex France
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Abstract
A Fréchet algebra endowed with a multiplicatively convex topology has two types of invariants: homotopy invariants (topological -theory and periodic cyclic homology) and secondary invariants (multiplicative -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 Fréchet -algebras under finitely summable quasihomomorphisms.
Cite this article
Denis Perrot, Secondary invariants for Frechet algebras and quasihomomorphisms. Doc. Math. 13 (2008), pp. 275–363
DOI 10.4171/DM/249