The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups

Bartels, A. ¹   ; Farrell, F. ²   ; Lück, W. ³

¹ Westfälische Wilhelms-Universität Münster, Mathematicians Institut,Einsteinium. 62, D-48149 Münster, Germany
² Department of Mathematics, Suny, Binghamton, New York, New York 13902
³ Mathematicians Institut der Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany

Journal of the American Mathematical Society, Tome 27 (2014) no. 2, pp. 339-388

Résumé

Let $G$ be a cocompact lattice in a virtually connected Lie group or the fundamental group of a three-dimensional manifold. We prove the $K$- and $L$-theoretic Farrell-Jones Conjectures for $G$.

Détail

DOI : 10.1090/S0894-0347-2014-00782-7

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