The Farrell–Jones Conjecture for normally poly-free groups

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.