On stability of deformations of Cuntz – Toeplitz algebras

• Дата: 2021
• Автори: Krutoi , K. A., Крутой , К. А.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2021
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/6590
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...