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Abstract
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We prove the Farrell–Jones conjecture for algebraic
-theory of spaces for
virtually poly--groups.
For this, we transfer the “Farrell–Hsiang method” from the linear case to categories of
equivariant, controlled retractive spaces.
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Keywords
algebraic $K\mkern-2mu$-theory of spaces, Farrell–Jones
conjecture, poly-$\mathbb Z$-groups
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Mathematical Subject Classification 2010
Primary: 19D10
Secondary: 18F25, 57Q10
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Milestones
Received: 4 October 2017
Revised: 10 September 2018
Accepted: 27 September 2018
Published: 24 March 2019
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