Geodesic
Secondary invariants for Frechet algebras and quasihomomorphisms
Documenta mathematica, Tome 13 (2008), pp. 275-363
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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.
DOI : 10.4171/dm/249
Classification : 19D55, 19K56, 46L80, 46L87
Mots-clés : index theory, bivariant cyclic cohomology, K-theory 
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     author = {Denis Perrot},
     title = {Secondary invariants for {Frechet} algebras and quasihomomorphisms},
     journal = {Documenta mathematica},
     pages = {275--363},
     year = {2008},
     volume = {13},
     doi = {10.4171/dm/249},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/249/}
}
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Denis Perrot. Secondary invariants for Frechet algebras and quasihomomorphisms. Documenta mathematica, Tome 13 (2008), pp. 275-363. doi: 10.4171/dm/249

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