On stability of deformations of Cuntz – Toeplitz algebras

  • K. A. Krutoi Taras Shevchenko National University of Kyiv
Keywords: C*-algebras, Cuntz-Toeplitz algebra, algebras allowing Wick ordering


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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How to Cite
Krutoi , K. A. “On Stability of Deformations of Cuntz – Toeplitz Algebras”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 5, May 2021, pp. 674 -78, doi:10.37863/umzh.v73i5.6590.
Research articles