2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156166This note provides some technical support to the proof of a result of W. Winter which shows that two unital separable simple amenable ${\cal Z}$-absorbing C*-algebras with locally finite decomposition property satisfying the UCT whose projections separate the traces are isomorphic if their $K$-theory is finitely generated and their Elliott invariants are the same.Operator Algebras46L35Localizing the Elliott Conjecture at Strongly Self-absorbing C*-algebras --An Appendixtext