Invariant states on noncommutative tori

Federico Bambozzi, Simone Murro, Nicola Pinamonti

For any number $h$ such that $\hslash :=h/2\pi$ is irrational and any skew-symmetric, non-degenerate bilinear form $\sigma :{\mathbb{Z}}^{2g}\times {\mathbb{Z}}^{2g}\to \mathbb{Z}$, let be $\mat…