Relation entre les conjectures de Farrell-Jones en K-théories algébrique et hermitienne  [ Relation between the Farrell-Jones conjectures in algebraic and hermitian K-theory ]
Annales de l'Institut Fourier, Volume 57 (2007) no. 1, p. 197-207

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 pZ such that the assembly map is an isomorphism in degrees p and p+1.

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 pZ tel que “assembly map” soit un isomorphisme en degré p et p+1.

DOI : https://doi.org/10.5802/aif.2256
Classification:  19D99
Keywords: Algebraic K-theory, hermitian K-theory, Farrell-Jones conjectures
@article{AIF_2007__57_1_197_0,
     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},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {57},
     number = {1},
     year = {2007},
     pages = {197-207},
     doi = {10.5802/aif.2256},
     mrnumber = {2313090},
     zbl = {1126.19005},
     language = {fr},
     url = {http://www.numdam.org/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, Volume 57 (2007) no. 1, pp. 197-207. doi : 10.5802/aif.2256. http://www.numdam.org/item/AIF_2007__57_1_197_0/

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