The paper constructs the first non-nuclear C*-algebra with both WEP and LLP, as an inductive limit of finite-dimensional subspaces with approximately multiplicative linking maps.
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A non-nuclear $C^*$-algebra with the Weak Expectation Property and the Local Lifting Property
The paper constructs the first non-nuclear C*-algebra with both WEP and LLP, as an inductive limit of finite-dimensional subspaces with approximately multiplicative linking maps.