Indexed by: Journal Papers
Date of Publication: 2019-09-01
Journal: OPERATORS AND MATRICES
Included Journals: SCIE
Volume: 13
Issue: 3
Page Number: 777-795
ISSN: 1846-3886
Key Words: Weyl-von Neumann theorem; Voiculescu's theorem; AF algebras; countably decomposable semifinite von Neumann algebras
Abstract: In this paper, we extend the "compact operator" part of Voiculescu's theorem on approximate equivalence of unital *-homomorphisms of an AF algebra when the range is in a countably decomposable, semifinite, properly infinite von Neumann factor. We also extend a result of Hadwin for approximate summands of representations into a finite von Neumann factor.