Eckstein, Michał On projections in the noncommutative 2-torus algebra. (English) Zbl 1298.46062 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 029, 14 p. (2014). Summary: 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 \(A_{\theta}\). MSC: 46L87 Noncommutative differential geometry 46L80 \(K\)-theory and operator algebras (including cyclic theory) 19A13 Stability for projective modules 19K14 \(K_0\) as an ordered group, traces Keywords:noncommutative torus; projections; noncommutative solitons PDFBibTeX XMLCite \textit{M. Eckstein}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 029, 14 p. (2014; Zbl 1298.46062) Full Text: DOI arXiv EMIS