Bosa, J. and Petzka, H. (2018) Comparison properties of the Cuntz semigroup and applications to C*-algebras. Canadian Journal of Mathematics, 70(1), pp. 26-52. (doi: 10.4153/cjm-2016-049-8)
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Abstract
We study comparison properties in the category Cu aiming to lift results to the C*-algebraic setting. We introduce a new comparison property and relate it to both the CFP and -comparison. We show differences of all properties by providing examples, which suggest that the corona factorization for C*-algebras might allow for both finite and infinite projections. In addition, we show that R{\o}rdam's simple, nuclear C*-algebra with a finite and an infinite projection does not have the CFP.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Bosa, Dr Joan |
Authors: | Bosa, J., and Petzka, H. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Canadian Journal of Mathematics |
Publisher: | Canadian Mathematical Society |
ISSN: | 0008-414X |
ISSN (Online): | 1496-4279 |
Published Online: | 25 May 2017 |
Copyright Holders: | Copyright © 2018 Canadian Mathematical Society |
First Published: | First published in Canadian Journal of Mathematics 70(1): 26-52 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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