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Author Ostrovskyi, Vasyl ♦ Proskurin, Daniil ♦ Turowska, Lyudmila
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-06-21
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Quantum Algebra ♦ 47L60 ♦ 47A67 ♦ 47L30 ♦ math
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.
Educational Use Research
Learning Resource Type Article
Page Count 13


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