A unitary invariant for $C^{\ast }$-algebras generated by isometries with a twisted commutation relation

Sourav Ghosh, Haripada Sau

We investigate the classification of $C^{\ast }$-algebras generated by pairs of isometries $(V_1,V_2)$ satisfying $V_1{V}_2=q{V}_2{V}_1$, where $q=e^{2\pi i\theta }$ with $\theta$ irrational, up to unitary…