K - and L -theory of group rings over G L n ( 𝐙 )
Publications Mathématiques de l'IHÉS, Tome 119 (2014), pp. 97-125

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We prove the K - and L -theoretic Farrell-Jones Conjecture (with coefficients in additive categories) for G L n ( 𝐙 )

DOI : 10.1007/s10240-013-0055-0
Keywords: Abelian Group, Volume Function, Group Ring, Cyclic Subgroup, Wreath Product

Bartels, Arthur 1 ; Lück, Wolfgang 2 ; Reich, Holger 3 ; Rüping, Henrik 2

1 Mathematisches Institut, Westfälische Wilhelms-Universität Münster Einsteinstr. 60 48149 Münster Germany
2 Mathematisches Institut, Rheinische Wilhelms-Universität Bonn Endenicher Allee 60 53115 Bonn Germany
3 Institut für Mathematik, Freie Universität Berlin Arnimallee 7 14195 Berlin Germany
@article{PMIHES_2014__119__97_0,
     author = {Bartels, Arthur and L\"uck, Wolfgang and Reich, Holger and R\"uping, Henrik},
     title = {$K$- and \protect\emph{$L$}-theory of group rings over $GL_n ( \mathbf{Z} )$},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {97--125},
     publisher = {Springer Berlin Heidelberg},
     address = {Berlin/Heidelberg},
     volume = {119},
     year = {2014},
     doi = {10.1007/s10240-013-0055-0},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10240-013-0055-0/}
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Bartels, Arthur; Lück, Wolfgang; Reich, Holger; Rüping, Henrik. $K$- and $L$-theory of group rings over $GL_n ( \mathbf{Z} )$. Publications Mathématiques de l'IHÉS, Tome 119 (2014), pp. 97-125. doi: 10.1007/s10240-013-0055-0

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