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Unbounded Representations of q-Deformation of Cuntz Algebra
Authors:Vasyl Ostrovskyi  Daniil Proskurin  Lyudmila Turowska
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
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.
Keywords:
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