Geodesic
Bivariant $K$-theory for locally convex algebras and the Chern-Connes character
Documenta mathematica, Tome 2 (1997), pp. 139-182
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We present a new construction of a bivariant K-functor. The functor can be defined on various categories of topological algebras. The corresponding bivariant theory has a Kasparov product and the other standard properties of KK-theory. We study such a theory in detail on a natural category of locally convex algebras and define a bivariant multiplicative character to bivariant periodic cyclic cohomology.
DOI : 10.4171/dm/26
Classification : 19K35, 19L10, 46H20, 46L87
Mots-clés : bivariant, bivariant K-theory, bivariant Chern character, Chern-connes-character, locally convex algebra, Fréchet algebra, extension, K-theory for topological algebras, cyclic homology for topological algebras 
@article{10_4171_dm_26,
     author = {Joachim Cuntz},
     title = {Bivariant $K$-theory for locally convex algebras and the {Chern-Connes} character},
     journal = {Documenta mathematica},
     pages = {139--182},
     year = {1997},
     volume = {2},
     doi = {10.4171/dm/26},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/26/}
}
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Joachim Cuntz. Bivariant $K$-theory for locally convex algebras and the Chern-Connes character. Documenta mathematica, Tome 2 (1997), pp. 139-182. doi: 10.4171/dm/26

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