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

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

2008-03-11

arxiv.org/abs/0803.1639v4

Algebraic & Geometric Topology, Volume 11, Issue 4 (2011), 2391-2436

Mathematics

K-Theory and Homology

Scientific paper

10.2140/agt.2011.11.2391

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.

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