Beneduci, R. and Molnár, Lajos (2014) On the standard K-loop structure of positive invertible elements in a C*-algebra. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 420 (1). pp. 551-562. ISSN 0022-247X
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Abstract
We investigate the algebraic properties of the operation a {ring operator} b = sqrt(a) b sqrt(a) on the set of all positive invertible elements of a C*-algebra A. We show that its commutativity, associativity and distributivity are each equivalent to the commutativity of A. We present abstract characterizations of the operation {ring operator} and a few related ones, too. © 2014 Elsevier Inc. All rights reserved.
| Item Type: | Article |
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| Additional Information: | This accepted author manuscript is copyrighted and published by Elsevier. It is posted here by agreement between Elsevier and MTA. The definitive version of the text was subsequently published in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. Available under license CC-BY-NC-ND. |
| Uncontrolled Keywords: | Positive invertibles in a C*-algebra; LOOP; K-loop; C* -algebra |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 14 Feb 2015 16:39 |
| Last Modified: | 14 Feb 2017 00:15 |
| URI: | http://real.mtak.hu/id/eprint/21794 |
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