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A classification is given of certain separable nuclear C*-algebras notnecessarily of real rank zero, namely, the class of separable simpleC*-algebras which are inductive limits of continuous-trace C*-algebras whosebuilding blocks have spectrum homeomorphic to the closed interval [0,1], or toa disjoint union of copies of this space. Also, the range of the invariant iscalculated.

The classification ofseparable simple C*-algebras which are inductive  limits of continuous-trace C*-algebraswith spectrum homeomorphic to the  closed interval [0,1]