  Further to the functional representations of C$^*$-algebras proposed by R.
Cirelli, A. Mania and L. Pizzocchero, we consider in this article the uniform
K\"ahler bundle (in short, UKB) description of some C$^*$-algebraic subjects.
In particular, we obtain an one-to-one correspondence between closed ideals of
a C$^*$-algebra $\mathcal{A}$ and full uniform K\"ahler sub bundles over open
subsets of the base space of the UKB associated with $\mathcal{A}$. In
addition, we will present a geometric description of the pure state space of
hereditary C$^*$-subalgebras and show that that if $\mathcal{B}$ is a
hereditary C$^*$-subalgebra of $\mathcal{A}$, the UKB of $\mathcal{B}$ is a
kind of K\"ahler subbundle of the UKB of $\mathcal{A}$. As a simple example, we
consider hereditary C$^*$-subalgebras of the C$^*$-algebra of compact operators
on a Hilbert space. Finally, we remark that hereditary C$^*$-subalgebras also
naturally can be characterized as uniform holomorphic Hilbert subbundles.
