Unbounded representations of $q$-deformation of Cuntz algebra

Details Unbounded representations of $q$-deformation of Cuntz algebra Unbounded representations of $q$-deformation of Cuntz algebra

2008-06-21

arxiv.org/abs/0806.3503v1

Mathematics

Quantum Algebra

13 pages, Submitted to Lett. Math. Phys

Scientific paper

10.1007/s11005-008-0256-5

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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