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arXiv · 1103.6054

On Projections in the Noncommutative 2-Torus Algebra

Michał Eckstein
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Abstract

We investigate a set of functional equations defining a projection in the noncommutative 2-torus algebra $A_θ$. The exact solutions of these provide various generalisations of the Powers-Rieffel projection. By identifying the corresponding $K_0(A_θ)$ classes we get an insight into the structure of projections in $A_θ$.

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Michał Eckstein. 2014-03-23. On Projections in the Noncommutative 2-Torus Algebra. https://doi.org/10.3842/sigma.2014.029

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