On Projections in the Noncommutative 2-Torus Algebra

preprint2014arXivOpen access

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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On Projections in the Noncommutative 2-Torus Algebra

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