The Kirchberg–Wassermann operator system is unique

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.

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