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Ergodic properties of noncommutative dynamical systems
Dissertation (MSc)--University of Pretoria, 2013.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2014
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| _version_ | 1867613622087188480 |
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| access_status_str | Open Access |
| author2 | Duvenhage, Rocco |
| author_browse | Duvenhage, Rocco |
| author_facet | Duvenhage, Rocco |
| collection | Thesis |
| dc_rights_str_mv | © 2013 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Dissertation (MSc)--University of Pretoria, 2013. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/40351 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:39:04.068Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/40351 Ergodic properties of noncommutative dynamical systems Duvenhage, Rocco mmsnyman@gmail.com Stroh, Anton Snyman, Mathys Machiel Ergodic theory C*-dynamical systems C*-algebras UCTD Dissertation (MSc)--University of Pretoria, 2013. In this dissertation we develop aspects of ergodic theory for C*-dynamical systems for which the C*-algebras are allowed to be noncommutative. We define four ergodic properties, with analogues in classic ergodic theory, and study C*-dynamical systems possessing these properties. Our analysis will show that, as in the classical case, only certain combinations of these properties are permissable on C*-dynamical systems. In the second half of this work, we construct concrete noncommutative C*-dynamical systems having various permissable combinations of the ergodic properties. This shows that, as in classical ergodic theory, these ergodic properties continue to be meaningful in the noncommutative case, and can be useful to classify and analyse C*-dynamical systems. gm2014 Mathematics and Applied Mathematics unrestricted 2014-06-24T09:50:02Z 2014-06-24T09:50:02Z 2014-04-23 2013 Dissertation Snyman, MM 2013, Ergodic properties of noncommutative dynamical systems, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/40351> E14/4/187/gm http://hdl.handle.net/2263/40351 en © 2013 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | Ergodic theory C*-dynamical systems C*-algebras UCTD Ergodic properties of noncommutative dynamical systems |
| title | Ergodic properties of noncommutative dynamical systems |
| title_full | Ergodic properties of noncommutative dynamical systems |
| title_fullStr | Ergodic properties of noncommutative dynamical systems |
| title_full_unstemmed | Ergodic properties of noncommutative dynamical systems |
| title_short | Ergodic properties of noncommutative dynamical systems |
| title_sort | ergodic properties of noncommutative dynamical systems |
| topic | Ergodic theory C*-dynamical systems C*-algebras UCTD |
| url | http://hdl.handle.net/2263/40351 |