Decomposable approximations revisited

作者: Nathanial P. Brown , José R. Carrión , Stuart White

DOI: 10.1007/978-3-319-39286-8_2

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摘要: Nuclear C*-algebras enjoy a number of approximation properties, most famously the completely positive property. This was recently sharpened to arrange for incoming maps be sums order-zero maps. We show that, in addition, outgoing can chosen asymptotically order-zero. Further these multiplicative if and only C*-algebra all its traces are quasidiagonal.

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