$C*$-Algebras Associated with $F_{2^n }$ Unimodal Dynamical Systems
We consider $C*$-algebras associated with simple unimodal one-dimensional ambiguous dynamical systems $(f,R)$ with certain special restrictions. For these algebras, we present a complete classification of irreducible representations in Hilbert spaces and describe the dual space. As an example, we...
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| Datum: | 2001 |
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Institute of Mathematics, NAS of Ukraine
2001
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510445593427968 |
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| author | Maistrenko, T. Yu. Popovich, S. V. Майстренко, Т. Ю. Попович, С. В. |
| author_facet | Maistrenko, T. Yu. Popovich, S. V. Майстренко, Т. Ю. Попович, С. В. |
| author_sort | Maistrenko, T. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:26:34Z |
| description | We consider $C*$-algebras associated with simple unimodal one-dimensional ambiguous dynamical systems $(f,R)$ with certain special restrictions. For these algebras, we present a complete classification of irreducible representations in Hilbert spaces and describe the dual space. As an example, we consider the one-parameter family $f_{μ}(x) = μx(1 − x)$. |
| first_indexed | 2026-03-24T02:57:07Z |
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| id | umjimathkievua-article-4314 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
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| language | Ukrainian English |
| last_indexed | 2026-03-24T02:57:07Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5e/790e58cce32034d705d45c3bdcaa335e.pdf |
| spelling | umjimathkievua-article-43142020-03-18T20:26:34Z $C*$-Algebras Associated with $F_{2^n }$ Unimodal Dynamical Systems $C*$-алгебри, пов'язані з $F_{2^n }$ унімодальними динамічними системами Maistrenko, T. Yu. Popovich, S. V. Майстренко, Т. Ю. Попович, С. В. We consider $C*$-algebras associated with simple unimodal one-dimensional ambiguous dynamical systems $(f,R)$ with certain special restrictions. For these algebras, we present a complete classification of irreducible representations in Hilbert spaces and describe the dual space. As an example, we consider the one-parameter family $f_{μ}(x) = μx(1 − x)$. Розглядаються $C*$-алгебри, пов'язані з простими унімодальними одновимірними неоднозначними динамічними системами $(f,R)$ і з деякими спеціальними обмеженнями. Для цих алгебр наведено повну класифікацію незвідних зображень у гільбертових просторах та описано дуальний простір. Як приклад розглядається однопараметрична сім'я $f_{μ}(x) = μx(1 − x)$. Institute of Mathematics, NAS of Ukraine 2001-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4314 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 7 (2001); 929-938 Український математичний журнал; Том 53 № 7 (2001); 929-938 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4314/5332 https://umj.imath.kiev.ua/index.php/umj/article/view/4314/5333 Copyright (c) 2001 Maistrenko T. Yu.; Popovich S. V. |
| spellingShingle | Maistrenko, T. Yu. Popovich, S. V. Майстренко, Т. Ю. Попович, С. В. $C*$-Algebras Associated with $F_{2^n }$ Unimodal Dynamical Systems |
| title | $C*$-Algebras Associated with $F_{2^n }$ Unimodal Dynamical Systems |
| title_alt | $C*$-алгебри, пов'язані з $F_{2^n }$ унімодальними динамічними системами |
| title_full | $C*$-Algebras Associated with $F_{2^n }$ Unimodal Dynamical Systems |
| title_fullStr | $C*$-Algebras Associated with $F_{2^n }$ Unimodal Dynamical Systems |
| title_full_unstemmed | $C*$-Algebras Associated with $F_{2^n }$ Unimodal Dynamical Systems |
| title_short | $C*$-Algebras Associated with $F_{2^n }$ Unimodal Dynamical Systems |
| title_sort | $c*$-algebras associated with $f_{2^n }$ unimodal dynamical systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4314 |
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