Geodesic
Algebraic Kasparov $K$-theory. I
Documenta mathematica, Tome 19 (2014), pp. 1207-1269
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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.
DOI : 10.4171/dm/479
Classification : 19D99, 19K35, 55P42
Mots-clés : triangulated categories, bivariant algebraic K-theory, homotopy theory of algebras 
@article{10_4171_dm_479,
     author = {Grigory Garkusha},
     title = {Algebraic {Kasparov} $K$-theory. {I}},
     journal = {Documenta mathematica},
     pages = {1207--1269},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/479},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/479/}
}
TY  - JOUR
AU  - Grigory Garkusha
TI  - Algebraic Kasparov $K$-theory. I
JO  - Documenta mathematica
PY  - 2014
SP  - 1207
EP  - 1269
VL  - 19
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/479/
DO  - 10.4171/dm/479
ID  - 10_4171_dm_479
ER  - 
%0 Journal Article
%A Grigory Garkusha
%T Algebraic Kasparov $K$-theory. I
%J Documenta mathematica
%D 2014
%P 1207-1269
%V 19
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/479/
%R 10.4171/dm/479
%F 10_4171_dm_479
Grigory Garkusha. Algebraic Kasparov $K$-theory. I. Documenta mathematica, Tome 19 (2014), pp. 1207-1269. doi: 10.4171/dm/479

Cité par Sources :