Том 71
№ 11

All Issues

Kabluchko Z. A.

Articles: 1
Article (Russian)

On C*-Algebras Generated by Deformations of CCR

Kabluchko Z. A., Proskurin D. P., Samoilenko Yu. S.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2004. - 56, № 11. - pp. 1527-1538

We consider C*-algebras generated by deformations of classical commutation relations (CCR), which are generalizations of commutation relations for generalized quons and twisted CCR. We show that the Fock representation is a universal bounded representation. We discuss the connection between the presented deformations and extensions of many-dimensional noncommutative tori.