The Connes-Kasparov conjecture for almost connected groups and for linear p-adic groups
Chabert, Jérôme ; Echterhoff, Siegfried ; Nest, Ryszard
Publications Mathématiques de l'IHÉS, Tome 98 (2003), p. 239-278 / Harvested from Numdam
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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 k-rational points of any linear algebraic group over a local field k of characteristic zero.

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     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},
     volume = {98},
     year = {2003},
     pages = {239-278},
     doi = {10.1007/s10240-003-0014-2},
     zbl = {1048.46057},
     language = {en},
     url = {http://dml.mathdoc.fr/item/PMIHES_2003__97__239_0}
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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 98 (2003) pp. 239-278. doi : 10.1007/s10240-003-0014-2. http://gdmltest.u-ga.fr/item/PMIHES_2003__97__239_0/

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