On families of twisted power partial isometries

Authors

  • V.L. Ostrovskyi Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereschenkivska str., 01601, Kyiv, Ukraine https://orcid.org/0000-0001-8534-503X
  • D.P. Proskurin Taras Shevchenko National University, 4 Glushkov ave., Kyiv, Ukraine
  • R.Ya. Yakymiv Taras Shevchenko National University, 4 Glushkov ave., Kyiv, Ukraine
https://doi.org/10.15330/cmp.14.1.260-265

Keywords:

partial isometry, centered operator, irreducible representation, non-commutative torus
Published online: 2022-06-30

Abstract

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.

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How to Cite
(1)
Ostrovskyi, V.; Proskurin, D.; Yakymiv, R. On Families of Twisted Power Partial Isometries. Carpathian Math. Publ. 2022, 14, 260-265.