On the Farrell-Jones Conjecture for higher algebraic K-theory

Details On the Farrell-Jones Conjecture for higher algebraic K-theory On the Farrell-Jones Conjecture for higher algebraic K-theory

2003-08-05

arxiv.org/abs/math/0308030v1

Mathematics

Algebraic Topology

46 pages

Scientific paper

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.

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