On families of twisted power partial isometries

V.L. Ostrovskyi, D.P. Proskurin, R.Ya. Yakymiv
2022 Karpatsʹkì Matematičnì Publìkacìï  
We consider families of power partial isometries satisfying twisted commutation relations with deformation parameters $\lambda_{ij}\in\mathbb C$, $|\lambda_{ij}|=1$. Irreducible representations of such a families are described up to the unitary equivalence. Namely any such representation corresponds, up to the unitary equivalence, to irreducible representation of certain higher-dimensional non-commutative torus.
doi:10.15330/cmp.14.1.260-265 fatcat:irpbw3segbamtiub35itclglxm