2017
Том 69
№ 9

All Issues

On C*-Algebras Generated by Deformations of CCR

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

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 11, pp 1813-1827.

Citation Example: Kabluchko Z. A., Proskurin D. P., Samoilenko Yu. S. On C*-Algebras Generated by Deformations of CCR // Ukr. Mat. Zh. - 2004. - 56, № 11. - pp. 1527-1538.

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