Let A= U An be an (AF)-algebra with identity e, where An = M(p(n)),p(n) = (pn) ∈Z++r(n), An→An+1, e∈An, n, τ(A) be the space of alltracial states on A,G(A) = lim (Zr(n),φn) be the dimension group of A,φu(G) bethe state space of G(A), where u =φn∞.(p(n)) is an ordered unit of G(A).