32 citations · 32 across the 2 of their papers we have counts for
5 papers
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…
A family of *-algebras allowing Wick ordering: Fock representations and universal enveloping -algebras
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii Samoilenko
We consider an abstract Wick ordering as a family of relations on elements a_i and define *-algebras by these relations. The relations are given by a fixed operator T:h\otimes h --…
The kernel of Fock representations of Wick algebras with braided operator of coefficients
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko
It is shown that the kernel of the Fock representation of a certain Wick algebra with braided operator of coefficients T, || T ||<= 1, coincides with the largest quadratic Wick ide…