Unbounded representations of $q$-deformation of Cuntz algebra

Abstract

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 the *-algebra defined by relations above and classify all such irreducible representations up to unitary equivalence.

13 pages, Submitted to Lett. Math. Phys

References in corpus (1)

• On Commutation Relations for Quons