Completeness conjecture for automorphism groups of austere right-angled Artin groups

Let $A_\Gamma$ be a right-angled Artin group, and let $\Gamma$ be austere, meaning that its defining graph has no nontrivial graph symmetries, no dominated vertices, and no separating intersections of links. Completeness conjecture. When $\Gamma$ is austere, $\operatorname{Aut}(A_\Gamma)$ is complete: it has trivial centre and every automorphism is inner. The paper asks which right-angled Artin groups have complete automorphism groups; this conjecture proposes completeness for the austere case, beyond the examples built from direct products of free groups. Its resolution is not established in the supplied text.