Secondary invariants for Frechet algebras and quasihomomorphisms

Details Secondary invariants for Frechet algebras and quasihomomorphisms Secondary invariants for Frechet algebras and quasihomomorphisms

2008-04-07

arxiv.org/abs/0804.1042v2

Doc. Math. 13 (2008) 275-363

Mathematics

K-Theory and Homology

80 pages. v1: This is essentially the first part of the preprint arXiv:0706.1937, with improvements. v2: minor corrections, al

Scientific paper

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.

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