Bosa, J., Tornetta, G. and Zacharias, J. (2018) Open projections and suprema in the Cuntz semigroup. Mathematical Proceedings of the Cambridge Philosophical Society, 164(1), pp. 135-146. (doi: 10.1017/S030500411600089X)
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Abstract
We provide a new and concise proof of the existence of suprema in the Cuntz semigroup using the open projection picture of the Cuntz semigroup initiated in [12]. Our argument is based on the observation that the supremum of a countable set of open projections in the bidual of a C*-algebra A is again open and corresponds to the generated hereditary C*-subalgebra of A.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Bosa, Dr Joan and Zacharias, Professor Joachim and Tornetta, Mr Gabriele |
| Authors: | Bosa, J., Tornetta, G., and Zacharias, J. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Mathematical Proceedings of the Cambridge Philosophical Society |
| Publisher: | Cambridge University Press |
| ISSN: | 0305-0041 |
| ISSN (Online): | 1469-8064 |
| Published Online: | 27 September 2016 |
| Copyright Holders: | Copyright © 2016 Cambridge Philosophical Society |
| First Published: | First published in Mathematical Proceedings of the Cambridge Philosophical Society 164(1):135-146 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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