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Secondary invariants for Frechet algebras and quasihomomorphisms
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 …