Geodesic
The Farrell–Jones conjecture for some nearly crystallographic groups
Farrell, F Thomas1 ; Wu, Xiaolei2
1Department of Mathematical Sciences, SUNY Binghamton, Binghamton, NY 13902-6000, USA
2Institut für Mathematik, Freie Universität Berlin, Arnimallee 7, D-14195 Berlin, Germany
Algebraic and Geometric Topology, Tome 15 (2015) no. 3, pp. 1667-1690
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In this paper, we prove the K–theoretical and L–theoretical Farrell–Jones conjecture with coefficients in an additive category for nearly crystallographic groups of the form ℚn ⋊ ℤ, where ℤ acts on ℚn as an irreducible integer matrix with determinant  d, |d| > 1.

DOI : 10.2140/agt.2015.15.1667
Classification : 18F25, 19A31, 19B28
Keywords: tree, group action, Farrell–Jones conjecture, K–theory of group rings, L–theory of group rings

Farrell, F Thomas  1   ; Wu, Xiaolei  2

1 Department of Mathematical Sciences, SUNY Binghamton, Binghamton, NY 13902-6000, USA
2 Institut für Mathematik, Freie Universität Berlin, Arnimallee 7, D-14195 Berlin, Germany 
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Farrell, F Thomas; Wu, Xiaolei. The Farrell–Jones conjecture for some nearly crystallographic groups. Algebraic and Geometric Topology, Tome 15 (2015) no. 3, pp. 1667-1690. doi: 10.2140/agt.2015.15.1667

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