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arXiv · 0806.3503

Unbounded representations of $q$-deformation of Cuntz algebra

Vasyl Ostrovskyi·Daniil Proskurin·Lyudmila Turowska
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Abstract

We study a deformation of the Cuntz-Toeplitz $C^*$-algebra determined by the relations $a_i^*a_i=1+q a_ia_i^*, a_i^*a_j=0$. We define well-behaved unbounded *-representations of the *-algebra defined by relations above and classify all such irreducible representations up to unitary equivalence.

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Vasyl Ostrovskyi, Daniil Proskurin, Lyudmila Turowska. 2008-06-21. Unbounded representations of $q$-deformation of Cuntz algebra. https://doi.org/10.1007/s11005-008-0256-5

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