On the Farrell-Jones Conjecture for higher algebraic K-theory, by Arthur Bartels and Holger Reich

We prove the Farrell-Jones Isomorphism Conjecture about the algebraic K-theory of a group ring RG in the case where the group G is the fundamental group of a closed Riemannian manifold with strictly negative sectional curvature. The coefficient ring R is an arbitrary associative ring with unit and the result applies to all dimensions.

Arthur Bartels <bartelsa@math.uni-muenster.de>
Holger Reich <reichh@math.uni-muenster.de>