The Farrell-Jones Conjecture for normally poly-free groups

Benjamin Brück; Dawid Kielak; Xiaolei Wu

The Farrell-Jones Conjecture for normally poly-free groups

Algebraic Topology 2020-09-24 v3 Group Theory K-Theory and Homology

Authors: Benjamin Brück , Dawid Kielak , Xiaolei Wu

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.

Keywords

conjectures and proofs

Cite

@article{arxiv.1906.01360,
  title  = {The Farrell-Jones Conjecture for normally poly-free groups},
  author = {Benjamin Brück and Dawid Kielak and Xiaolei Wu},
  journal= {arXiv preprint arXiv:1906.01360},
  year   = {2020}
}

Comments

9 pages. Minor changes; to appear in Proc. Amer. Math. Soc

The Farrell-Jones Conjecture for normally poly-free groups

Abstract

Keywords

Cite

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