The multiplier algebra of a nuclear quasidiagonal C*-algebra

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The Multiplier Algebra of a Nuclear Quasidiagonal C-algebra

We give the nuclear analogue of Dadarlat’s characterization of exact quasidiagonal C∗-algebras. Specifically, we prove the following: Theorem 0.1. Let A be a unital separable simple C∗-algebra. Then the following conditions are equivalent: i) A is nuclear and quasidiagonal. ii) A has the stabilization principle. iii) If π : A → M(A ⊗ K) is a unital, purely large ∗-homomorphism, then the image π...

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ژورنال

عنوان ژورنال: Bulletin of the London Mathematical Society

سال: 2008

ISSN: 0024-6093

DOI: 10.1112/blms/bdn062