Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

 

On the Farrell-Jones conjecture for higher algebraic $K$-theory


Authors: Arthur Bartels and Holger Reich
Journal: J. Amer. Math. Soc. 18 (2005), 501-545
MSC (2000): Primary 19D50; Secondary 53C12
Published electronically: March 30, 2005
MathSciNet review: 2138135
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove the Farrell-Jones Conjecture for the algebraic $K$-theory of a group ring $R \Gamma$ in the case where the group $\Gamma$ 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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Journal of the American Mathematical Society with MSC (2000): 19D50, 53C12

Retrieve articles in all journals with MSC (2000): 19D50, 53C12


Additional Information

Arthur Bartels
Affiliation: Fachbereich Mathematik, Universität Münster, Einsteinstr. 62, 48149 Münster, Germany
Email: bartelsa@math.uni-muenster.de

Holger Reich
Affiliation: Fachbereich Mathematik, Universität Münster, Einsteinstr. 62, 48149 Münster, Germany
Email: reichh@math.uni-muenster.de

DOI: http://dx.doi.org/10.1090/S0894-0347-05-00482-0
PII: S 0894-0347(05)00482-0
Keywords: $K$-theory, group rings, controlled algebra
Received by editor(s): August 5, 2003
Published electronically: March 30, 2005
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.