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On Projections in the Noncommutative 2-Torus Algebra
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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On Projections in the Noncommutative 2-Torus Algebra
Інший ID:
2010 Mathematics Subject Classification: 46L80; 19A13; 19K14; 46L87
DOI:10.3842/SIGMA.2014.029
DOI:10.3842/SIGMA.2014.029
Посилання:
On Projections in the Noncommutative 2-Torus Algebra / M. Eckstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 21 назв. — англ.
Підтримка:
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.
Дата:
2014
Переглядів:
541
Завантажень:
245
Анотація:
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.
