\(C^*\)-algebra generated by four projections with sum equal to 2
We describe the \(C^*\)-algebra generated by four orthogonal projections \(p_1, p_2, p_3, p_4\), satisfying the linear relation \(p_1+p_2+p_3+p_4=2I\). The simplest realization by \(2\times 2\)-matrix-functions over the sphere \(S^2\) is given.
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1004 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543330341486592 |
|---|---|
| author | Savchuk, Yuri |
| author_facet | Savchuk, Yuri |
| author_sort | Savchuk, Yuri |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-15T06:07:40Z |
| description | We describe the \(C^*\)-algebra generated by four orthogonal projections \(p_1, p_2, p_3, p_4\), satisfying the linear relation \(p_1+p_2+p_3+p_4=2I\). The simplest realization by \(2\times 2\)-matrix-functions over the sphere \(S^2\) is given. |
| first_indexed | 2026-02-08T07:57:31Z |
| format | Article |
| id | admjournalluguniveduua-article-1004 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:57:31Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-10042018-05-15T06:07:40Z \(C^*\)-algebra generated by four projections with sum equal to 2 Savchuk, Yuri matrix-functions, projections, finitely generated \(C^*\)-algebras 46L05, 47L50 We describe the \(C^*\)-algebra generated by four orthogonal projections \(p_1, p_2, p_3, p_4\), satisfying the linear relation \(p_1+p_2+p_3+p_4=2I\). The simplest realization by \(2\times 2\)-matrix-functions over the sphere \(S^2\) is given. Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1004 Algebra and Discrete Mathematics; Vol 3, No 3 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1004/533 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | matrix-functions projections finitely generated \(C^*\)-algebras 46L05 47L50 Savchuk, Yuri \(C^*\)-algebra generated by four projections with sum equal to 2 |
| title | \(C^*\)-algebra generated by four projections with sum equal to 2 |
| title_full | \(C^*\)-algebra generated by four projections with sum equal to 2 |
| title_fullStr | \(C^*\)-algebra generated by four projections with sum equal to 2 |
| title_full_unstemmed | \(C^*\)-algebra generated by four projections with sum equal to 2 |
| title_short | \(C^*\)-algebra generated by four projections with sum equal to 2 |
| title_sort | \(c^*\)-algebra generated by four projections with sum equal to 2 |
| topic | matrix-functions projections finitely generated \(C^*\)-algebras 46L05 47L50 |
| topic_facet | matrix-functions projections finitely generated \(C^*\)-algebras 46L05 47L50 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1004 |
| work_keys_str_mv | AT savchukyuri calgebrageneratedbyfourprojectionswithsumequalto2 |