Amenability and uniqueness
Copyright policy )Amenability and uniqueness
The main result of this paper is a characterization of properly infinite injective von Neumann algebras and of nuclear C*-algebras by using a uniqueness theorem, based on generalizations of Voiculescu's famous Weyl-von Neumann theorem.
22 pages
- University of Wyoming United States
- University of Ottawa Canada
- University of Louisiana at Lafayette United States
- University of Louisiana System United States
General theory of von Neumann algebras, 46L05, 46L10, Mathematics - Operator Algebras, nuclear \(C^\ast \)-algebras, General theory of \(C^*\)-algebras, Classifications of \(C^*\)-algebras, approximately unitarily equivalent representations, semidiscrete von Neumann algebras, FOS: Mathematics, Operator Algebras (math.OA)
General theory of von Neumann algebras, 46L05, 46L10, Mathematics - Operator Algebras, nuclear \(C^\ast \)-algebras, General theory of \(C^*\)-algebras, Classifications of \(C^*\)-algebras, approximately unitarily equivalent representations, semidiscrete von Neumann algebras, FOS: Mathematics, Operator Algebras (math.OA)
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