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Metric aspects of noncommutative geometry
Dissertation (MSc)--University of Pretoria, 2019.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2020
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| _version_ | 1867613454179762177 |
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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 | © 2020 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, 2019. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/77893 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:24.202Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2020 |
| publishDateRange | 2020 |
| publishDateSort | 2020 |
| 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:2263/77893 Metric aspects of noncommutative geometry Duvenhage, Rocco u12024016@tuks.co.za van Staden, Wernd Jakobus UCTD Dissertation (MSc)--University of Pretoria, 2019. We study noncommutative geometry from a metric point of view by constructing examples of spectral triples and explicitly calculating Connes's spectral distance between certain associated pure states. After considering instructive nite-dimensional spectral triples, the noncommutative geometry of the in nite-dimensional Moyal plane is studied. The corresponding spectral triple is based on the Moyal deformation of the algebra of Schwartz functions on the Euclidean plane. Physics MSc Unrestricted 2020-12-29T11:51:06Z 2020-12-29T11:51:06Z 2020/05/06 2019 Dissertation van Staden, WJ 2019, Metric aspects of noncommutative geometry, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/77893> A2020 http://hdl.handle.net/2263/77893 en © 2020 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 | UCTD Metric aspects of noncommutative geometry |
| title | Metric aspects of noncommutative geometry |
| title_full | Metric aspects of noncommutative geometry |
| title_fullStr | Metric aspects of noncommutative geometry |
| title_full_unstemmed | Metric aspects of noncommutative geometry |
| title_short | Metric aspects of noncommutative geometry |
| title_sort | metric aspects of noncommutative geometry |
| topic | UCTD |
| url | http://hdl.handle.net/2263/77893 |