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arXiv · 1906.01360

The Farrell-Jones Conjecture for normally poly-free groups

Benjamin Brück·Dawid Kielak·Xiaolei Wu
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Abstract

We prove the $K$- and $L$-theoretic Farrell-Jones Conjecture with coefficients in an additive category for every normally poly-free group, in particular for even Artin groups of FC-type, and for all groups of the form $A\rtimes \mathbb{Z}$ where $A$ is a right-angled Artin group. Our proof relies on the work of Bestvina-Fujiwara-Wigglesworth on the Farrell--Jones Conjecture for free-by-cyclic groups.

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Benjamin Brück, Dawid Kielak, Xiaolei Wu. 2019-06-04. The Farrell-Jones Conjecture for normally poly-free groups. https://arxiv.org/abs/1906.01360

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