Brown, N. P., Carrion, J. R. and White, S. (2016) Decomposable approximations revisited. In: Carlsen, T. M., Larsen, N. S., Neshveyev, S. and Skau, C. (eds.) Operator Algebras and Applications: The Abel Symposium 2015. Series: Abel symposia (12). Springer International Publishing, pp. 45-59. ISBN 9783319392868 (doi: 10.1007/978-3-319-39286-8_2)
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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.
Item Type: | Book Sections |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | White, Professor Stuart |
Authors: | Brown, N. P., Carrion, J. R., and White, S. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Abel Symposium |
Publisher: | Springer International Publishing |
ISBN: | 9783319392868 |
Copyright Holders: | Copyright © 2016 Springer International Publishing |
First Published: | First published in Operator Algebras and Applications: The Abel Symposium 2015:45-59 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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