Algebraic K-theory over the infinite dihedral group: an algebraic approach

Date
Authors
Davis, James F.
Khan, Qayum
Ranicki, Andrew
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
Keywords
Mathematics - K-Theory and Homology, Mathematics - Algebraic Topology, 19D35 (Primary) 57Q10, 16E20 (Secondary)
Citation
Collections