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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| Date: | 2014 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146829 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| Summary: | 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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