Algebraic K-theory over the infinite dihedral group: an algebraic approach
K-Theory and Homology
2016-05-18 v4 Algebraic Topology
Abstract
We prove that the Waldhausen nilpotent class group of an injective index 2 amalgamated free product is isomorphic to the Farrell-Bass nilpotent class group of a twisted polynomial extension. As an application, we show that the Farrell-Jones Conjecture in algebraic K-theory can be sharpened from the family of virtually cyclic subgroups to the family of finite-by-cyclic subgroups.
Cite
@article{arxiv.0803.1639,
title = {Algebraic K-theory over the infinite dihedral group: an algebraic approach},
author = {James F. Davis and Qayum Khan and Andrew Ranicki},
journal= {arXiv preprint arXiv:0803.1639},
year = {2016}
}