On <em class="a-plus-plus">C</em>*-Algebras Generated by Deformations of CCR

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


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.
How to Cite
Kabluchko, Z. A., D. P. Proskurin, and Y. S. Samoilenko. “On <em class="a-Plus-plus">C</Em&gt;*-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.
Research articles