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

By Holger Kammeyer, W. Lück, Henrik Rueping. 2014

48 citations recorded by the source corpus.

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).

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/97831db972d763e3c00723a973261574c4dc3b0d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Christian Wegner
2. W. Lück
3. Arthur Bartels

In Mathematical Physics

1. Christian Wegner
2. W. Lück
3. Arthur Bartels

Citations in the corpus

• The Farrell–Jones conjecture for virtually solvable groups (2013, result): “eoretic Farrell-Jones Conjecture (with coefficients in additive categories) with respect to the family of virtually cyclic subgroups. This result has already been used in several papers, e.g., [GMR13], [KLR14], [Rue13]. The Farrell-Jones Conjecture for virtually solvable groups has been studied by sev”