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Unbounded Representations of q-Deformation of Cuntz Algebra

We study a deformation of the Cuntz–Toeplitz C * -algebra determined by the relations . We define its well-behaved unbounded *-representations and classify all irreducible ones up to unitary equivalence.

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Bibliographic Details
Published in:Letters in mathematical physics 2008-09, Vol.85 (2-3), Article 147
Main Authors: Ostrovskyi, Vasyl, Proskurin, Daniil, Turowska, Lyudmila
Format: Article
Language:English
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Summary:We study a deformation of the Cuntz–Toeplitz C * -algebra determined by the relations . We define its well-behaved unbounded *-representations and classify all irreducible ones up to unitary equivalence.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-008-0256-5