2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58565We consider subtorus actions on divisorial toric varieties. Here divisoriality means that the variety has many Cartier divisors like quasiprojective and smooth ones. We characterize when a subtorus action on such a toric variety admits a categorical quotient in the category of divisorial varieties. Our result generalizes previous statements for the quasiprojective case. An important tool for the proof is a universal reduction of an arbitrary toric variety to a divisorial one. This is done in terms of support maps, a notion generalizing support functions on a polytopal fan. A further essential step is the decomposition of a given subtorus invariant regular map to a divisorial variety into an invariant toric part followed by a non-toric part.20 pages, LaTeX2e, 3 figures. Extended version including more examples. To appear in Michigan Math. JAlgebraic Geometry14L30; 14M25; 14C20text