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arXiv · 0803.1639

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

James F. Davis·Qayum Khan·Andrew Ranicki
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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.

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James F. Davis, Qayum Khan, Andrew Ranicki. 2012-01-10. Algebraic K-theory over the infinite dihedral group: an algebraic approach. https://doi.org/10.2140/agt.2011.11.2391

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