A remark on the Farrell-Jones conjecture
Abstract
Assuming the classical Farrell-Jones conjecture we produce an explicit (commutative) group ring $R$ and a thick subcategory $\mathsf{C}$ of perfect $R$-complexes such that the Waldhausen $K$-theory space $\mathrm{K}(\mathsf{C})$ is equivalent to a rational Eilenberg-Maclane space.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2017
- DOI:
- 10.48550/arXiv.1710.03517
- arXiv:
- arXiv:1710.03517
- Bibcode:
- 2017arXiv171003517A
- Keywords:
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- Mathematics - K-Theory and Homology;
- Mathematics - Algebraic Geometry;
- Mathematics - Algebraic Topology
- E-Print:
- New York Journal of Mathematics. Volume 23 (2017) 1357-1362