32 citations · 46 across the 8 of their papers we have counts for
8 papers
Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations
Alexei Daletskii, Alexander Kalyuzhny, Eugene Lytvynov +1
Let be a separable Hilbert space and be a self-adjoint bounded linear operator on with norm , satisfying the Yang--Baxter equation. Bożejko and Speich…
Shilov boundary for "holomorphic functions" on a quantum matrix ball
Daniil Proskurin, Lyudmila Turowska
We describe the Shilov boundary ideal for a q-analog of algebra of holomorphic functions on the unit ball in the space of matrices.
Unbounded representations of -deformation of Cuntz algebra
Vasyl Ostrovskyi, Daniil Proskurin, Lyudmila Turowska
We study a deformation of the Cuntz-Toeplitz -algebra determined by the relations . We define well-behaved unbounded *-representations of th…
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…