Unbounded representations of $q$-deformation of Cuntz algebra

Vasyl Ostrovskyi, Daniil Proskurin, Lyudmila Turowska

We study a deformation of the Cuntz-Toeplitz $C^{\ast }$-algebra determined by the relations $a_i^{\ast }{a}_i=1+q{a}_i{a}_i^{\ast },a_i^{\ast }{a}_j=0$. We define well-behaved unbounded *-representations of th…