  Let $\MCZK$, denote the multiplier algebra over $\CZK$, the algebra of
continuous functions into the compact operators with spectrum the infinite
product of two-spheres. We consider multiplier projections in $\MCZK$ of a
certain diagonal form. We show that, while for each multiplier projection $Q$
of the special form, we have that $Q(x)\in\BH\setminus \KK$ for all $x\in
\prod_{j=1}^\infty S^2$, the ideal generated by $Q$ in $\MCZK$ might be proper.
We further show that the ideal generated by a multiplier projection of the
special form is proper if and only if the projection is stably finite.
