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${{K}_{0}}$-Groups of Simple 
${{C}^{*}}$-Algebras
In the sequel we construct simple, unital, separable, stable, amenable ${{C}^{*}}$-algebras for which the ordered ${{K}_{0}}$-group is strongly perforated and group isomorphic to 
$Z$. The particular order structures to be constructed will be described in detail below, and all known results of this type will be generalised.
In this paper a K-theoretic classification is given of the C*-dynamical systems 
where An is finite-dimensional. Corresponding to the trivial action is the K-theoretic classification for AF algebras obtained in [3] (also see [1]).
