In 1998, Kirchberg and Wassermann constructed a separable nuclear operator system with the property that the canonical unital ∗-homomorphism from the maximal C∗-algebra onto the C∗-envelope is injective. We show that such an operator system is unique, and completely order isomorphic to the operator system associated with the noncommutative Poulsen simplex.
Lupini M (2018). The Kirchberg-Wassermann operator system is unique. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 459(2), 1251-1259 [10.1016/j.jmaa.2017.11.026].
The Kirchberg-Wassermann operator system is unique
Lupini M
2018
Abstract
In 1998, Kirchberg and Wassermann constructed a separable nuclear operator system with the property that the canonical unital ∗-homomorphism from the maximal C∗-algebra onto the C∗-envelope is injective. We show that such an operator system is unique, and completely order isomorphic to the operator system associated with the noncommutative Poulsen simplex.File in questo prodotto:
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