The Farrell–Jones conjecture for normally poly-free groups

Brück, Benjamin; Kielak, Dawid; Wu, Xiaolei

doi:10.1090/proc/15357

The Farrell–Jones conjecture for normally poly-free groups
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by Benjamin Brück, Dawid Kielak and Xiaolei Wu PDF

Proc. Amer. Math. Soc. 149 (2021), 2349-2356 Request permission

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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