  In the current paper, we generalize the "compact operator" part of the
Voiculescu's non-commutative Weyl-von Neumann theorem on approximate
equivalence of unital $*$-homomorphisms of an commutative C$^*$ algebra
$\mathcal{A}$ into a semifinite von Neumann algebra. A result of D. Hadwin for
approximate summands of representations into a finite von Neumann factor
$\mathcal{R}$ is also extended.
