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On families of twisted power partial isometries
2022
Karpatsʹkì Matematičnì Publìkacìï
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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