Mathematics > K-Theory and Homology
[Submitted on 11 Mar 2008 (v1), last revised 10 Jan 2012 (this version, v4)]
Title:Algebraic K-theory over the infinite dihedral group: an algebraic approach
View PDFAbstract: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.
Submission history
From: James F. Davis [view email][v1] Tue, 11 Mar 2008 17:27:03 UTC (20 KB)
[v2] Tue, 11 Mar 2008 20:27:21 UTC (20 KB)
[v3] Mon, 22 Feb 2010 13:05:23 UTC (26 KB)
[v4] Tue, 10 Jan 2012 20:28:01 UTC (47 KB)
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