On families of twisted power partial isometries
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...
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2022-06-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/5451 |
| _version_ | 1797205786808549376 |
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| author | V.L. Ostrovskyi D.P. Proskurin R.Ya. Yakymiv |
| author_facet | V.L. Ostrovskyi D.P. Proskurin R.Ya. Yakymiv |
| author_sort | V.L. Ostrovskyi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T08:56:40Z |
| format | Article |
| id | doaj.art-486b266a64ac4cf487dee8fd0294709e |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-04-24T08:56:40Z |
| publishDate | 2022-06-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-486b266a64ac4cf487dee8fd0294709e2024-04-16T07:10:59ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102022-06-0114126026510.15330/cmp.14.1.260-2654715On families of twisted power partial isometriesV.L. Ostrovskyi0https://orcid.org/0000-0001-8534-503XD.P. Proskurin1R.Ya. Yakymiv2Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereschenkivska str., 01601, Kyiv, UkraineTaras Shevchenko National University, 4 Glushkov ave., Kyiv, UkraineTaras Shevchenko National University, 4 Glushkov ave., Kyiv, UkraineWe 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.https://journals.pnu.edu.ua/index.php/cmp/article/view/5451partial isometrycentered operatorirreducible representationnon-commutative torus |
| spellingShingle | V.L. Ostrovskyi D.P. Proskurin R.Ya. Yakymiv On families of twisted power partial isometries Karpatsʹkì Matematičnì Publìkacìï partial isometry centered operator irreducible representation non-commutative torus |
| title | On families of twisted power partial isometries |
| title_full | On families of twisted power partial isometries |
| title_fullStr | On families of twisted power partial isometries |
| title_full_unstemmed | On families of twisted power partial isometries |
| title_short | On families of twisted power partial isometries |
| title_sort | on families of twisted power partial isometries |
| topic | partial isometry centered operator irreducible representation non-commutative torus |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/5451 |
| work_keys_str_mv | AT vlostrovskyi onfamiliesoftwistedpowerpartialisometries AT dpproskurin onfamiliesoftwistedpowerpartialisometries AT ryayakymiv onfamiliesoftwistedpowerpartialisometries |