On C*-Algebras Generated by Deformations of CCR

Authors

  • Z. A. Kabluchko
  • D. P. Proskurin Київ. нац. ун-т iм. Т. Шевченка
  • Yu. S. Samoilenko Iн-т математики НАН України, Київ

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.

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Published

25.11.2004

Issue

Vol. 56 No. 11 (2004)

Section

Research articles

How to Cite

Kabluchko, Z. A., et al. “On C*-Algebras Generated by Deformations of CCR”. Ukrains’kyi Matematychnyi Zhurnal, vol. 56, no. 11, Nov. 2004, pp. 1527-38, https://umj.imath.kiev.ua/index.php/umj/article/view/3863.