Orbit equivalence rigidity of irreducible actions of right-angled Artin groups

Let G(Gamma) (sic) X and G(Lambda) (sic) Y be two free measure-preserving actions of one-ended right-angled Artin groups with trivial center on standard probability spaces. Assume they are irreducible, i.e. every element from a standard generating set acts ergodically. We prove that if the two actions are stably orbit equivalent (or merely stably W *-equivalent), then they are automatically conjugate through a group isomorphism between G(Gamma) and G(Lambda). Through work of Monod and Shalom, we derive a superrigidity statement: if the action G(Gamma) (sic) X is stably orbit equivalent (or merely stably W *-equivalent) to a free, measurepreserving, mildly mixing action of a countable group, then the two actions are virtually conjugate. We also use the works of Popa and Ioana, Popa and Vaes to establish the W *-superrigidity of Bernoulli actions of all infinite conjugacy classes groups having a finite generating set made of infinite-order elements where two consecutive elements commute, and one has a nonamenable centralizer: these include one-ended nonabelian right-angled Artin groups, but also many other Artin groups and most mapping class groups of finite-type surfaces.