FINITE SUMS AND PRODUCTS OF COMMUTATORS IN INDUCTIVE LIMIT C-ASTERISK-ALGEBRAS

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 generalisations 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.