Indexed by:期刊论文
Date of Publication:2018-12-01
Journal:OPERATORS AND MATRICES
Included Journals:SCIE
Volume:12
Issue:4
Page Number:1129-1144
ISSN No.: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.