Geodesic
Secondary invariants for Frechet algebras and quasihomomorphisms
Documenta mathematica, Tome 13 (2008), pp. 275-363.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A Fréchet 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 Fréchet $m$-algebras under finitely summable quasihomomorphisms.
Classification : 19D55, 19K56, 46L80, 46L87
Keywords: $K$-theory, bivariant cyclic cohomology, index theory 
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     author = {Perrot, Denis},
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Perrot, Denis. Secondary invariants for Frechet algebras and quasihomomorphisms. Documenta mathematica, Tome 13 (2008), pp. 275-363. http://geodesic.mathdoc.fr/item/DOCMA_2008__13__a13/