Geodesic
Bivariante $K$-Theorie für lokalconvexe Algebren und der Chern-Connes-Charakter.
Documenta mathematica, Tome 2 (1997), pp. 139-182.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 18G60, 19K35, 19L10, 46H20, 46L87
Keywords: 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{DOCMA_1997__2__a9,
     author = {Cuntz, Joachim},
     title = {Bivariante $K${-Theorie} f\"ur lokalconvexe {Algebren} und der {Chern-Connes-Charakter.}},
     journal = {Documenta mathematica},
     pages = {139--182},
     publisher = {mathdoc},
     volume = {2},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_1997__2__a9/}
}
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Cuntz, Joachim. Bivariante $K$-Theorie für lokalconvexe Algebren und der Chern-Connes-Charakter.. Documenta mathematica, Tome 2 (1997), pp. 139-182. http://geodesic.mathdoc.fr/item/DOCMA_1997__2__a9/