2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69318We show that unital simple C*-algebras with tracial topological rank zero which are locally approximated by subhomogeneous C^-algebras can be classified by their ordered $K$-theory. We apply this classification result to show that certain simple crossed products are isomorphic if they have the same ordered $K$-theory. In particular, irrational higher dimensional non-commutative tori of the form $C({\mathbb T}^k)\times_θ{\mathbb Z}$ are in fact inductive limits of circle algebras.24 pages published versionOperator AlgebrasFunctional Analysistext