  A $C^{*}$-algebra $A$ has ideal property if any ideal $I$ of $A$ is generated
as a closed two sided ideal by the projections inside the ideal. Suppose that
the limit $C^{*}$-algebra $A$ of inductive limit of direct sums of matrix
algebras over spaces with uniformly bounded dimension has ideal property. In
this paper, we will prove that $A$ can be written as an inductive limit of
certain very special subhomogeneous algebras, namely, direct sum of dimension
drop interval algebras and matrix algebras over 2-dimensional spaces with
torsion $H^{2}$ groups.
