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A note on the Voiculescu's theorem for commutative C$^*$-algebras in semifinite von Neumann algebras (1801.02510v2)
Published 8 Jan 2018 in math.OA
Abstract: 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.
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