We study a deformation of the Cuntz-Toeplitz C∗-algebra determined by the
relations ai∗ai=1+qaiai∗,ai∗aj=0. We define well-behaved unbounded
*-representations of the *-algebra defined by relations above and classify all
such irreducible representations up to unitary equivalence.Comment: 13 pages, Submitted to Lett. Math. Phy