Voir la notice de l'article provenant de la source Numdam
Let G be a locally compact group with cocompact connected component. We prove that the assembly map from the topological K-theory of G to the K-theory of the reduced C-algebra of G is an isomorphism. The same is shown for the groups of -rational points of any linear algebraic group over a local field of characteristic zero.
@article{PMIHES_2003__97__239_0,
author = {Chabert, J\'er\^ome and Echterhoff, Siegfried and Nest, Ryszard},
title = {The {Connes-Kasparov} conjecture for almost connected groups and for linear $p$-adic groups},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {239--278},
publisher = {Springer},
volume = {97},
year = {2003},
doi = {10.1007/s10240-003-0014-2},
zbl = {1048.46057},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10240-003-0014-2/}
}
TY - JOUR AU - Chabert, Jérôme AU - Echterhoff, Siegfried AU - Nest, Ryszard TI - The Connes-Kasparov conjecture for almost connected groups and for linear $p$-adic groups JO - Publications Mathématiques de l'IHÉS PY - 2003 SP - 239 EP - 278 VL - 97 PB - Springer UR - http://geodesic.mathdoc.fr/articles/10.1007/s10240-003-0014-2/ DO - 10.1007/s10240-003-0014-2 LA - en ID - PMIHES_2003__97__239_0 ER -
%0 Journal Article %A Chabert, Jérôme %A Echterhoff, Siegfried %A Nest, Ryszard %T The Connes-Kasparov conjecture for almost connected groups and for linear $p$-adic groups %J Publications Mathématiques de l'IHÉS %D 2003 %P 239-278 %V 97 %I Springer %U http://geodesic.mathdoc.fr/articles/10.1007/s10240-003-0014-2/ %R 10.1007/s10240-003-0014-2 %G en %F PMIHES_2003__97__239_0
Chabert, Jérôme; Echterhoff, Siegfried; Nest, Ryszard. The Connes-Kasparov conjecture for almost connected groups and for linear $p$-adic groups. Publications Mathématiques de l'IHÉS, Tome 97 (2003), pp. 239-278. doi: 10.1007/s10240-003-0014-2
Cité par Sources :