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 No.: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.