paper

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

arXiv:math/0308030

Abstract

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.

46 pages

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