Hirshberg, I., Kirchberg, E. and White, S. (2012) Decomposable approximations of nuclear C*-algebras. Advances in Mathematics, 230(3), pp. 1029-1039. (doi: 10.1016/j.aim.2012.03.028)
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Abstract
We show that nuclear <i>C</i><sup>*</sup>-algebras have a refined version of the completely positive approximation property, in which the maps that approximately factorize through finite dimensional algebras are convex combinations of order zero maps. We use this to show that a separable nuclear <i>C</i><sup>*</sup>-algebra A which is closely contained in a <i>C</i><sup>*</sup>-algebra B embeds into B.
Item Type: | Articles |
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Additional Information: | NOTICE: this is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Advances in Mathematics 230(3):1029-1039, http://dx.doi.org/10.1016/j.aim.2012.03.028 |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | White, Professor Stuart |
Authors: | Hirshberg, I., Kirchberg, E., and White, S. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Advances in Mathematics |
Publisher: | Elsevier |
ISSN: | 0001-8708 |
Published Online: | 21 April 2012 |
Copyright Holders: | Copyright © 2012 Elsevier |
First Published: | First published in Advances in Mathematics 230(3):1029-1039 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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