English

On Projections in the Noncommutative 2-Torus Algebra

K-Theory and Homology 2014-03-25 v3 Operator Algebras

Abstract

We investigate a set of functional equations defining a projection in the noncommutative 2-torus algebra AθA_{\theta}. The exact solutions of these provide various generalisations of the Powers-Rieffel projection. By identifying the corresponding K0(Aθ)K_0(A_{\theta}) classes we get an insight into the structure of projections in AθA_{\theta}.

Keywords

Cite

@article{arxiv.1103.6054,
  title  = {On Projections in the Noncommutative 2-Torus Algebra},
  author = {Michał Eckstein},
  journal= {arXiv preprint arXiv:1103.6054},
  year   = {2014}
}
R2 v1 2026-06-21T17:47:21.927Z