We study C*-algebras \( {\mathcal{O}}_{n+m}^{\hat{q}} \) generated by isometries \( {\left\{{S}_i\right\}}_{i=1}^n\bigcup {\left\{{t}_j\right\}}_{j=1}^m, \) where isometries from the same collection are orthogonal and isometries from different collections are qi, j-commuting. It is shown that if |qi, j| < 1, then the C*-algebra \( {\mathcal{O}}_{n+m}^{\hat{q}} \) is isomorphic to the Cuntz–Toeplitz algebra \( {\mathcal{O}}_{n+m}^0. \)
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 5, pp. 674–678, May, 2021. Ukrainian DOI: 10.37863/umzh.v73i5.6590.
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Krutoi, K.A. On the Stability of Deformations of Cuntz–Toeplitz Algebras. Ukr Math J 73, 784–790 (2021). https://doi.org/10.1007/s11253-021-01959-2
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DOI: https://doi.org/10.1007/s11253-021-01959-2