PUBLICATIONS MATHÉMATIQUES DE L'IHES

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K - and L -theory of group rings over G L n ( 𝐙 )
Arthur Bartels1 ; Wolfgang Lück2 ; Holger Reich3; Henrik Rüping2
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
Publications Mathématiques de l'IHÉS, Volume 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 )

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

Arthur Bartels 1; Wolfgang Lück 2; Holger Reich 3; Henrik Rüping 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 
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     title = {$K$- and \protect\emph{$L$}-theory of group rings over $GL_n ( \mathbf{Z} )$},
     journal = {Publications Math\'ematiques de l'IH\'ES},
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Arthur Bartels; Wolfgang Lück; Holger Reich; Henrik Rüping. $K$- and $L$-theory of group rings over $GL_n ( \mathbf{Z} )$. Publications Mathématiques de l'IHÉS, Volume 119 (2014), pp. 97-125. doi: 10.1007/s10240-013-0055-0

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