Stability of rotation relations in $C^{\ast }$-algebras

Jiajie Hua, Qingyun Wang

Let $\Theta =({\theta }_{j,k}{)}_{3\times 3}$ be a non-degenerate real skew-symmetric $3\times 3$ matrix, where ${\theta }_{j,k}\in [0,1).$ For any $\epsilon >0$, we prove that there exists $\delta >0$ satisf…