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On the Farrell-Jones conjecture for higher algebraic  -theory |
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| Authors: | Arthur Bartels Holger Reich |
| Institution: | Fachbereich Mathematik, Universität Münster, Einsteinstr. 62, 48149 Münster, Germany ; Fachbereich Mathematik, Universität Münster, Einsteinstr. 62, 48149 Münster, Germany |
| Abstract: | We prove the Farrell-Jones Conjecture for the algebraic  -theory of a group ring  in the case where the group  is the fundamental group of a closed Riemannian manifold with strictly negative sectional curvature. The coefficient ring  is an arbitrary associative ring with unit and the result applies to all dimensions. |
| Keywords: | $K$-theory group rings controlled algebra |
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