Geodesic
Algebraic Kasparov $K$-theory. I
Documenta mathematica, Tome 19 (2014), pp. 1207-1269.

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

Summary: This paper is to construct unstable, Morita stable and stable bivariant algebraic Kasparov $K$-theory spectra of $k$-algebras. These are shown to be homotopy invariant, excisive in each variable $K$-theories. We prove that the spectra represent universal unstable, Morita stable and stable bivariant homology theories respectively.
Classification : 19D99, 19K35, 55P42
Keywords: bivariant algebraic K-theory, homotopy theory of algebras, triangulated categories 
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     author = {Garkusha, Grigory},
     title = {Algebraic {Kasparov} $K$-theory. {I}},
     journal = {Documenta mathematica},
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     volume = {19},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a4/}
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Garkusha, Grigory. Algebraic Kasparov $K$-theory. I. Documenta mathematica, Tome 19 (2014), pp. 1207-1269. http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a4/