Results of T. Fack, P. de la Harpe and G. Skandalis concerning the internal structure of simple $AF$-algebras are extended to $C^{*}$-algebras that are inductive limits of finite direct sums of homogeneous $C^{*}$-algebras. The generalizations are obtained with slightly varying assumptions on the building blocks, but all results are applicable to unital simple inductive limits of finite direct sums of circle algebras.