Relation entre les conjectures de Farrell-Jones en K-théories algébrique et hermitienne
Battikh, Naoufel
Annales de l'Institut Fourier, Tome 57 (2007), p. 197-207 / Harvested from Numdam
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On montre que si la conjecture de Farrell-Jones en K-théorie algébrique est vérifiée alors celle de la K-théorie hermitienne est équivalente à l’existence d’un entier p∈Z tel que “assembly map” soit un isomorphisme en degré p et p+1.

We prove that if the Farrell-Jones conjecture for algebraic K-theory is true then the same conjecture for hermitian K-theory is equivalent to the fact that it exists p∈Z such that the assembly map is an isomorphism in degrees p and p+1.

Publié le : 2007-01-01
DOI : https://doi.org/10.5802/aif.2256
Classification:  19D99
Mots clés: K-théorie algébrique, K-théorie hermitienne, conjectures de Farrell-Jones 
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     author = {Battikh, Naoufel},
     title = {Relation entre les conjectures de Farrell-Jones en $K$-th\'eories alg\'ebrique et hermitienne},
     journal = {Annales de l'Institut Fourier},
     volume = {57},
     year = {2007},
     pages = {197-207},
     doi = {10.5802/aif.2256},
     zbl = {1126.19005},
     mrnumber = {2313090},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIF_2007__57_1_197_0}
}

Battikh, Naoufel. Relation entre les conjectures de Farrell-Jones en $K$-théories algébrique et hermitienne. Annales de l'Institut Fourier, Tome 57 (2007) pp. 197-207. doi : 10.5802/aif.2256. http://gdmltest.u-ga.fr/item/AIF_2007__57_1_197_0/

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