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Ukrainian Mathematical Journal

, Volume 56, Issue 11, pp 1813–1827 | Cite as

On C*-Algebras Generated by Deformations of CCR

  • Z. A. Kabluchko
  • D. P. Proskurin
  • Yu. S. Samoilenko
Article

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.

Keywords

Commutation Relation Bounded Representation Algebra Generate Noncommutative Tori Classical Commutation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • Z. A. Kabluchko
    • 1
  • D. P. Proskurin
    • 2
  • Yu. S. Samoilenko
    • 3
  1. 1.Gottingen UniversityGottingenGermany
  2. 2.Shevchenko Kiev National UniversityKievUkraine
  3. 3.Institute of MathematicsUkrainian Academy of SciencesKievUkraine

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