Perrot, Denis Secondary invariants for Frechet algebras and quasihomomorphisms. (English) Zbl 1149.19005 Doc. Math. 13, 275-363 (2008). Author’s abstract: 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. Reviewer: Do Ngoc Diep (Hanoi) Cited in 3 Documents MSC: 19D55 \(K\)-theory and homology; cyclic homology and cohomology 19K56 Index theory 46L80 \(K\)-theory and operator algebras (including cyclic theory) 46L87 Noncommutative differential geometry Keywords:K-theory; bivariant cyclic cohomology; index theory PDFBibTeX XMLCite \textit{D. Perrot}, Doc. Math. 13, 275--363 (2008; Zbl 1149.19005) Full Text: arXiv EuDML EMIS