Indexed by: Journal Article
Date of Publication: 2018-12-01
Journal: OPERATORS AND MATRICES
Included Journals: SCIE
Volume: 12
Issue: 4
Page Number: 1129-1144
ISSN: 1846-3886
Key Words: Approximate equivalence; Weyl-von Neumann theorem; Voiculescu Theorem; semifinite von Neumann algebras
Abstract: In the current paper, we generalize the "compact operator" part of D. Voiculescu's non-commmutative Weyl-von Neumann theorem on approximately unitary equivalence of unital*-homomorphisms of a separable 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.