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 $A_{\theta }$. The exact solutions of these provide various generalisations of the Powers-Rieffel projection. By identifying the corresponding $K_0(A_{\theta })$ classes we get an insight into the structure of projections in $A_{\theta }$.

References in corpus (3)

• Exact solitons on noncommutative tori
• Very Basic Noncommutative Geometry
• C*algebras and differential geometry