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arXiv · 1602.00021

Decomposable approximations revisited

Nathanial P. Brown·José R. Carrión·Stuart White
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Abstract

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

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Nathanial P. Brown, José R. Carrión, Stuart White. 2016-01-29. Decomposable approximations revisited. https://doi.org/10.1007/978-3-319-39286-8_2

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