Stability of the C *-Algebra Associated with Twisted CCR

The universal enveloping C^*-algebra A of twisted canonical commutation relations is considered. It is shown that, for any (–1,1), the C^*-algebra A is isomorphic to the C^*-algebra A₀ generated by partial isometries t_i,t_i^*,i=1,¨,d satisfying the relationst_i^*t_j=_ij(1–_k<it_kt_k^*), t_jt_i=0, ijand it is proved that the Fock representation of A is faithful.