On C*-Algebras Generated by Deformations of CCR
We consider C*-algebras generated by deformations of classical commutation relations (CCR), which are generalizations of commutation relations for generalized quons and twisted CCR. We show that the Fock representation is a universal bounded representation. We discuss the connection between the pres...
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| Date: | 2004 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3863 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509997194018816 |
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| author | Kabluchko, Z. A. Proskurin, D. P. Samoilenko, Yu. S. Каблучко, З.А. Проскурин, Д. П. Самойленко, Ю. С. Каблучко, З.А. Проскурин, Д. П. Самойленко, Ю. С. |
| author_facet | Kabluchko, Z. A. Proskurin, D. P. Samoilenko, Yu. S. Каблучко, З.А. Проскурин, Д. П. Самойленко, Ю. С. Каблучко, З.А. Проскурин, Д. П. Самойленко, Ю. С. |
| author_sort | Kabluchko, Z. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:12:48Z |
| description | We consider C*-algebras generated by deformations of classical commutation relations (CCR), which are generalizations of commutation relations for generalized quons and twisted CCR. We show that the Fock representation is a universal bounded representation. We discuss the connection between the presented deformations and extensions of many-dimensional noncommutative tori. |
| first_indexed | 2026-03-24T02:49:59Z |
| format | Article |
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| id | umjimathkievua-article-3863 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:49:59Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f4/39e74e6aa240169ad3b084624d0d26f4.pdf |
| spelling | umjimathkievua-article-38632020-03-18T20:12:48Z On C*-Algebras Generated by Deformations of CCR Про C*-алгебры, порожденные деформациями CCR Kabluchko, Z. A. Proskurin, D. P. Samoilenko, Yu. S. Каблучко, З.А. Проскурин, Д. П. Самойленко, Ю. С. Каблучко, З.А. Проскурин, Д. П. Самойленко, Ю. С. We consider C*-algebras generated by deformations of classical commutation relations (CCR), which are generalizations of commutation relations for generalized quons and twisted CCR. We show that the Fock representation is a universal bounded representation. We discuss the connection between the presented deformations and extensions of many-dimensional noncommutative tori. Розглядаються C*-алгебри, породжені деформаціями класичних комутаційних співвідношень, які є узагальненнями комутаційних співвідношень для узагальнених куопів та скручених комутаційних співвідношень. Показано, що фоківське зображення є універсальним обмеженим зображенням. Обговорюється зв'язок поданих деформацій із розширеннями багатовимірних некомутативпих торів. Institute of Mathematics, NAS of Ukraine 2004-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3863 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 11 (2004); 1527-1538 Український математичний журнал; Том 56 № 11 (2004); 1527-1538 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3863/4445 https://umj.imath.kiev.ua/index.php/umj/article/view/3863/4446 Copyright (c) 2004 Kabluchko Z. A.; Proskurin D. P.; Samoilenko Yu. S. |
| spellingShingle | Kabluchko, Z. A. Proskurin, D. P. Samoilenko, Yu. S. Каблучко, З.А. Проскурин, Д. П. Самойленко, Ю. С. Каблучко, З.А. Проскурин, Д. П. Самойленко, Ю. С. On C*-Algebras Generated by Deformations of CCR |
| title | On C*-Algebras Generated by Deformations of CCR |
| title_alt | Про C*-алгебры, порожденные деформациями CCR |
| title_full | On C*-Algebras Generated by Deformations of CCR |
| title_fullStr | On C*-Algebras Generated by Deformations of CCR |
| title_full_unstemmed | On C*-Algebras Generated by Deformations of CCR |
| title_short | On C*-Algebras Generated by Deformations of CCR |
| title_sort | on c*-algebras generated by deformations of ccr |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3863 |
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