On Representations of C*-Algebras On, α of the Cuntz Type
We show that Cuntz-type algebras O n, k, n ≥ k ≥ 2, and O n, k + 1/2, n ≥ 4, k ≥ 2, are *-wild (this implies that the description of all *-representations of these algebras is a very complicated problem).
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| Datum: | 2002 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4049 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510178262122496 |
|---|---|
| author | Sergienko, U. O. Сергієнко, У. О. |
| author_facet | Sergienko, U. O. Сергієнко, У. О. |
| author_sort | Sergienko, U. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:20:16Z |
| description | We show that Cuntz-type algebras O n, k, n ≥ k ≥ 2, and O n, k + 1/2, n ≥ 4, k ≥ 2, are *-wild (this implies that the description of all *-representations of these algebras is a very complicated problem). |
| first_indexed | 2026-03-24T02:52:52Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4049 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:52:52Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c0/9ae64566bacbdad64b06dc906b4a74c0.pdf |
| spelling | umjimathkievua-article-40492020-03-18T20:20:16Z On Representations of C*-Algebras On, α of the Cuntz Type Про зображення C* - алгебр On, α типу Кунца Sergienko, U. O. Сергієнко, У. О. We show that Cuntz-type algebras O n, k, n ≥ k ≥ 2, and O n, k + 1/2, n ≥ 4, k ≥ 2, are *-wild (this implies that the description of all *-representations of these algebras is a very complicated problem). Доводиться, що алгебри типу Кунца $O_n,\; k, n ≥ k ≥ 2$ та $O_{n, k + 1/2{, n ≥ 4, k ≥ 2, $ є * -дикими (звідки випливає надзвичайна складність задачі опису всіх * -зображень цих алгебр). Institute of Mathematics, NAS of Ukraine 2002-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4049 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 1 (2002); 142-145 Український математичний журнал; Том 54 № 1 (2002); 142-145 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4049/4808 https://umj.imath.kiev.ua/index.php/umj/article/view/4049/4809 Copyright (c) 2002 Sergienko U. O. |
| spellingShingle | Sergienko, U. O. Сергієнко, У. О. On Representations of C*-Algebras On, α of the Cuntz Type |
| title | On Representations of C*-Algebras On, α of the Cuntz Type |
| title_alt | Про зображення C* - алгебр On, α типу Кунца |
| title_full | On Representations of C*-Algebras On, α of the Cuntz Type |
| title_fullStr | On Representations of C*-Algebras On, α of the Cuntz Type |
| title_full_unstemmed | On Representations of C*-Algebras On, α of the Cuntz Type |
| title_short | On Representations of C*-Algebras On, α of the Cuntz Type |
| title_sort | on representations of c*-algebras on, α of the cuntz type |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4049 |
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