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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 029, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.029 (Mi sigma894) 		 
On Projections in the Noncommutative 2-Torus Algebra

Michał Eckstein

Faculty of Mathematics and Computer Science, Jagellonian University, ul.  Łojasiewicza 6, 30-348 Kraków, Poland
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DOI: https://doi.org/10.3842/SIGMA.2014.029
Abstract: We investigate a set of functional equations defining a projection in the noncommutative 2-torus algebra $A_{\theta}$. The exact solutions of these provide various generalisations of the Powers–Rieffel projection. By identifying the corresponding $K_0(A_{\theta})$ classes we get an insight into the structure of projections in $A_{\theta}$.
Keywords: noncommutative torus; projections; noncommutative solitons.
Received: December 9, 2013; in final form March 16, 2014; Published online March 23, 2014
Bibliographic databases:
Document Type: Article
MSC: 46L80; 19A13; 19K14; 46L87
Language: English
Citation: Michał Eckstein, “On Projections in the Noncommutative 2-Torus Algebra”, SIGMA, 10 (2014), 029, 14 pp.
Citation in format AMSBIB
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