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Free Products and the Lack of State Preserving Approximations of Nuclear C*-algebras
Free Products Nuclear C*-algebras
2010/11/17
Let $A$ be a homogeneous C*-algebra and $\phi$ a state on $A.$ We show that if $\phi$ satisfies a certain faithfulness condition, then there is a net of finite-rank, unital completely positive, $\phi...