English

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

Geometric Topology 2013-07-02 v2

Abstract

Let G be a cocompact lattice in a virtually connected Lie group or the fundamental group of a 3-manifold. We prove the K-theoretic Farrell-Jones Conjecture (up to dimension one) and the L-theoretic Farrell-Jones Conjecture for G, where we allow coefficients in additive G-categories with (involution).

Keywords

Cite

@article{arxiv.1101.0469,
  title  = {The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups},
  author = {Arthur Bartels and F. T. Farrell and Wolfgang Lueck},
  journal= {arXiv preprint arXiv:1101.0469},
  year   = {2013}
}

Comments

Final version. To appear in Journal of the JAMS