On stability of deformations of Cuntz – Toeplitz algebras
UDC 517.986.2 We study $C^*$-algebras $\mathcal{O}_{n+m}^{\hat{q}}$ generated by isometries $\{s_i\}_{i=1}^n\cup\{t_j\}_{j=1}^m,$ where isometries from the same collection are orthogonal and isometries from different collections are $q_{i,j}$-commuting.It is shown that if $|q_{i,j}|<1,$ t...
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| Datum: | 2021 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2021
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6590 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.986.2
We study $C^*$-algebras $\mathcal{O}_{n+m}^{\hat{q}}$ generated by isometries $\{s_i\}_{i=1}^n\cup\{t_j\}_{j=1}^m,$ where isometries from the same collection are orthogonal and isometries from different collections are $q_{i,j}$-commuting.It is shown that if $|q_{i,j}|<1,$ then $C^*$-algebra $\mathcal{O}_{n+m}^{\hat{q}}$ is isomorphic to Cuntz -Toeplitz algebra $\mathcal{O}_{n+m}^{0}.$ |
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| DOI: | 10.37863/umzh.v73i5.6590 |