On C*-Algebras Generated by Deformations of CCR

• Date: 2004
• Main Authors: Kabluchko, Z. A., Proskurin, D. P., Samoilenko, Yu. S., Каблучко, З.А., Проскурин, Д. П., Самойленко, Ю. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3863
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 pres...