Unbounded Representations of q-Deformation of Cuntz Algebra |
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Authors: | Vasyl Ostrovskyi Daniil Proskurin Lyudmila Turowska |
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Affiliation: | 1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine 2. Faculty of Cybernetics, Kyiv National Taras Shevchenko University, Kyiv, Ukraine 3. Department of Mathematics, Chalmers University of Technology, Gothenburg, Sweden
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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 its well-behaved unbounded *-representations and classify all irreducible ones up to unitary equivalence. |
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