2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73752We show that two C*-algebraic noncommutative tori are strongly Morita equivalent if and only if they have isomorphic ordered K_0-groups and centers, extending N. C. Phillips's result in the case that the algebras are simple. This is also generalized to the twisted group C*-algebras of arbitrary finitely generated abelian groups.24 pages. One reference is addedOperator AlgebrasK-Theory and HomologyQuantum Algebra46L87;58B34text