On Projections in the Noncommutative 2-Torus Algebra
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}.
- Publication:
-
SIGMA
- Pub Date:
- March 2014
- DOI:
- 10.3842/SIGMA.2014.029
- arXiv:
- arXiv:1103.6054
- Bibcode:
- 2014SIGMA..10..029E
- Keywords:
-
- noncommutative torus;
- projections;
- noncommutative solitons;
- Mathematics - K-Theory and Homology;
- Mathematics - Operator Algebras;
- 46L80 (Primary) 19A13;
- 19K14;
- 46L87 (Secondary)
- E-Print:
- SIGMA 10 (2014), 029, 14 pages