Let $A$ be a $C(X)$-algebra ($X$ compact). For $x\neq y$ in $X$, we have the Glimm ideals in $A$: $I=C_0(X\setminus \{x\})A$ and $J=C_0(X\setminus \{y\})A$. The fibers are denoted by $A_x=A/I$ and $A_y=A/J$. Choose central projections $p,q\in A^{**}$ satisfying: $I^{**}=pA^{**}$ and $J^{**}=qA^{**}$. It follows that $A_x^{**}=(1-p)A^{**}$ and $A_y^{**}= (1-q)A^{**}$.
I want to show that $1-p$ and $1-q$ are orthogonal projections.
Probably one has to look on representation of $A$ that vanish on the distinct Glimm ideals $I$ and $J$ and to extend them to representations on the double duals.
I would be happy for any help! Thanks.