Decomposable approximations revisited

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
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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