  For $C^*$-algebra generated by a finite family of isometries $s_j$,
$j=1,\dots,d$ satisfying $q_{ij}$-commutation relations
  \[ s_j^* s_j = I, \quad s_j^* s_k = q_{ij}s_ks_j^*, \qquad q_{ij} = \bar
q_{ji}, |q_{ij}|<1, \ 1\le i \ne j \le d,
  \] we construct an infinite family of unitarily non-equivalent irreducible
representations. These representations are deformations of the corresponding
class of representations of the Cuntz algebra $\mathcal O_d$.
