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The Farrell–Jones conjecture for arbitrary lattices in virtually connected Lie groups

Holger Kammeyer, Wolfgang Lück and Henrik Rüping

Geometry & Topology 20 (2016) 1275–1287
Abstract

We prove the K– and the L–theoretic Farrell–Jones conjectures with coefficients in additive categories and with finite wreath products for arbitrary lattices in virtually connected Lie groups.

Keywords
Farrell-Jones Conjecture, lattices in virtually connected Lie groups
Mathematical Subject Classification 2010
Primary: 18F25
References
Publication
Received: 6 January 2014
Accepted: 2 July 2015
Published: 4 July 2016
Proposed: Martin Robert Bridson
Seconded: Jesper Grodal, Benson Farb
Authors
Holger Kammeyer
Mathematisches Institut
Universität Bonn
Endenicher Allee 60
D-53115 Bonn
Germany
http://www.math.uni-bonn.de/people/kammeyer/
Wolfgang Lück
Mathematisches Institut
Universität Bonn
Endenicher Allee 60
D-53123 Bonn
Germany
http://www.him.uni-bonn.de/lueck/
Henrik Rüping
Mathematisches Institut
Universität Bonn
Endenicher Allee 60
D-53115 Bonn
Germany
http://www.math.uni-bonn.de/people/rueping/