On the transfer reducibility of certain Farrell-Hsiang groups

We show how the existing proof of the Farrell-Jones Conjecture for virtually poly-\(\mathbb{Z}\)-groups can be improved to rely only on the usual inheritance properties in combination with transfer reducibility as a sufficient criterion for the validity of the conjecture.

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Bibliographic Details
Published inarXiv.org
Main Author Winges, Christoph
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.09.2014
Subjects
Mathematics - Geometric Topology
Mathematics - K-Theory and Homology
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Summary:We show how the existing proof of the Farrell-Jones Conjecture for virtually poly-\(\mathbb{Z}\)-groups can be improved to rely only on the usual inheritance properties in combination with transfer reducibility as a sufficient criterion for the validity of the conjecture.
ISSN:2331-8422
DOI:10.48550/arxiv.1409.8443