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On -algebras generated by some deformations of CAR relations
Daniil Proskurin, Yurii Savchuk, Lyudmila Turowska
We study the representation theory and enveloping -algebras for Wick analogues of CAR and twisted CAR algebras. The realization of the -algebras under consideration as al…
On C*-algebras generated by pairs of q-commuting isometries
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko
We consider the C*-algebras O_2^q and A_2^q generated, respectively, by isometries s_1, s_2 satisfying the relation s_1^* s_2 = q s_2 s_1^* with |q| < 1 (the deformed Cuntz relatio…
Stability of C^*-algebra associated with the twisted CCR
Daniil Proskurin, Yurii Samoilenko
The -algebra associated with the twisted CCR constructed by W. Pusz and S.L. Woronowicz is considered. It is proved that the -algebras corresponding to different values o…