A note on the Voiculescu's theorem for commutative C*-algebras in semifinite von Neumann algebras

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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 A into a semifinite von Neumann algebra. A result of D. Hadwin for approximate summands of representations into a finite von Neumann factor R is also extended.