On families of twisted power partial isometries
Array
DOI:
https://doi.org/10.15330/cmp.14.1.260-265Keywords:
partial isometry, centered operator, irreducible representation, non-commutative torusAbstract
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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Published
2022-06-30
How to Cite
(1)
Ostrovskyi, V.; Proskurin, D.; Yakymiv, R. On Families of Twisted Power Partial Isometries: Array. Carpathian Math. Publ. 2022, 14, 260-265.
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Scientific articles