Groups quasi-isometric to right-angled Artin groups

Abstract

We characterize groups quasi-isometric to a right-angled Artin group (RAAG) $G$ with finite outer automorphism group. In particular, all such groups admit a geometric action on a $CAT\left(0\right)$ cube complex that has an equivariant “fibering” over the Davis building of $G$. This characterization will be used in forthcoming work of the first author to give a commensurability classification of the groups quasi-isometric to certain RAAGs.