Amenability and Uniqueness
A. Ciuperca, T. Giordano, P. W. Ng, Z. Niu
TL;DR
This paper characterizes properly infinite injective von Neumann algebras and nuclear C*-algebras through a generalized uniqueness theorem inspired by Voiculescu's Weyl-von Neumann theorem.
Contribution
It introduces a new characterization method for these algebras using a generalized uniqueness theorem, extending previous foundational results.
Findings
Characterization of properly infinite injective von Neumann algebras
Characterization of nuclear C*-algebras
Extension of Voiculescu's Weyl-von Neumann theorem
Abstract
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.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Spectral Theory in Mathematical Physics · Holomorphic and Operator Theory