On Projections in the Noncommutative 2-Torus Algebra
We investigate a set of functional equations defining a projection in the noncommutative 2-torus algebra Aθ. The exact solutions of these provide various generalisations of the Powers-Rieffel projection. By identifying the corresponding K₀(Aθ) classes we get an insight into the structure of projecti...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146829 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On Projections in the Noncommutative 2-Torus Algebra / M. Eckstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862539932530114560 |
|---|---|
| author | Eckstein, M. |
| author_facet | Eckstein, M. |
| citation_txt | On Projections in the Noncommutative 2-Torus Algebra / M. Eckstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 21 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We investigate a set of functional equations defining a projection in the noncommutative 2-torus algebra Aθ. The exact solutions of these provide various generalisations of the Powers-Rieffel projection. By identifying the corresponding K₀(Aθ) classes we get an insight into the structure of projections in Aθ.
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| first_indexed | 2025-11-24T15:49:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146829 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T15:49:12Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Eckstein, M. 2019-02-11T16:40:03Z 2019-02-11T16:40:03Z 2014 On Projections in the Noncommutative 2-Torus Algebra / M. Eckstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 21 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 46L80; 19A13; 19K14; 46L87 DOI:10.3842/SIGMA.2014.029 https://nasplib.isofts.kiev.ua/handle/123456789/146829 We investigate a set of functional equations defining a projection in the noncommutative 2-torus algebra Aθ. The exact solutions of these provide various generalisations of the Powers-Rieffel projection. By identifying the corresponding K₀(Aθ) classes we get an insight into the structure of projections in Aθ. This paper is a contribution to the Special Issue on Noncommutative Geometry and Quantum Groups in
 honor of Marc A. Rief fel. The full collection is available at http://www.emis.de/journals/SIGMA/Rieffel.html.
 We would like to thank Andrzej Sitarz for his illuminating remarks. Project operated within the
 Foundation for Polish Science IPP Programme “Geometry and Topology in Physical Models”
 co-financed by the EU European Regional Development Fund, Operational Program Innovative
 Economy 2007-2013. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Projections in the Noncommutative 2-Torus Algebra Article published earlier |
| spellingShingle | On Projections in the Noncommutative 2-Torus Algebra Eckstein, M. |
| title | On Projections in the Noncommutative 2-Torus Algebra |
| title_full | On Projections in the Noncommutative 2-Torus Algebra |
| title_fullStr | On Projections in the Noncommutative 2-Torus Algebra |
| title_full_unstemmed | On Projections in the Noncommutative 2-Torus Algebra |
| title_short | On Projections in the Noncommutative 2-Torus Algebra |
| title_sort | on projections in the noncommutative 2-torus algebra |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146829 |
| work_keys_str_mv | AT ecksteinm onprojectionsinthenoncommutative2torusalgebra |