2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123877We derive maps relating currents and their divergences in non-abelian U(N) noncommutative gauge theory with the corresponding expressions in the ordinary (commutative) description. For the U(1) theory, in the slowly-varying-field approximation, these maps are also seen to connect the star-gauge-covariant anomaly in the noncommutative theory with the standard Adler--Bell--Jackiw anomaly in the commutative version. For arbitrary fields, derivative corrections to the maps are explicitly computed up to O(θ^2).18 pages, LaTeX, title shortened, last section expandedHigh Energy Physics - Theorytext