On the K-theory of subgroups of virtually connected Lie groups

Abstract

We prove that for every finitely generated subgroup of a virtually connected Lie group which admits a finite dimensional model for the classifying space for proper actions the assembly map in algebraic K-theory is split injective. We also prove a similar statement for algebraic L-theory, which in particular implies the integral Novikov conjecture for such groups.

13 pages

References in corpus (2)

• The K-theoretic Farrell-Jones Conjecture for hyperbolic groups
• Inheritance of Isomorphism Conjectures under colimits

Cited by in corpus (2)

• On the K-theory of linear groups
• Injectivity results for coarse homology theories