On projections in the noncommutative 2-torus algebra

Details On projections in the noncommutative 2-torus algebra On projections in the noncommutative 2-torus algebra

2011-03-30

arxiv.org/abs/1103.6054v1

Mathematics

K-Theory and Homology

13 pages, 4 figures

Scientific paper

We investigate a set of functional equations defining an arbitrary projection
in the noncommutative 2-torus algebra A_{\theta}. The exact solutions of those
provide various generalisations of the Power-Rieffel projection. By identifying
the corresponding K_0 classes we get an insight into the general structure of
projections in A_{\theta}.

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