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On
the Farrell–Jones conjecture for algebraic
$K\mkern-2mu$-theory of spaces: the Farrell–Hsiang method
Mark Ullmann and Christoph Winges |
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Vol. 4 (2019), No. 1, 57–138
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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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Authors |
| Mark Ullmann | |
| Institut für Mathematik Freie Universität Berlin Berlin Germany |
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| Christoph Winges | |
| Mathematisches Institut Rheinische Friedrich-Wilhelms-Universität Bonn Germany |
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