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Unbounded representations of $q$-deformation of Cuntz algebra

Quantum Algebra 2009-11-13 v1

Abstract

We study a deformation of the Cuntz-Toeplitz CC^*-algebra determined by the relations aiai=1+qaiai,aiaj=0a_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.

Keywords

Cite

@article{arxiv.0806.3503,
  title  = {Unbounded representations of $q$-deformation of Cuntz algebra},
  author = {Vasyl Ostrovskyi and Daniil Proskurin and Lyudmila Turowska},
  journal= {arXiv preprint arXiv:0806.3503},
  year   = {2009}
}

Comments

13 pages, Submitted to Lett. Math. Phys