Invariant States on Noncommutative Tori
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DOI: 10.1093/imrn/rnz189
Abstract: For any number $h$ such that $\hbar :=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 ${{\mathcal{A}}}^h_{g,\sigma }$ be the twisted group *-algebra ${{\mathbb{C}}}[{{\mathbb{Z}}}^{2g}]$ and consider the ergodic group… read more here.
Keywords: mathcal sigma; states noncommutative; sigma; noncommutative tori ... See more keywords