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On $C^*$-algebra generated by Fock representation of Wick algebra with braided coefficients

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Abstract

We consider $C^*$-algebras $\mathcal{W}(T)$ generated by operators of Fock representations of Wick $*$-algebras with a braided coefficient operator $T$. It is shown that for any braided $T$ with $||T||<1$ one has the inclusion $\mathcal{W}(0)\subset\mathcal{W}(T)$. Conditions for existence of an isomorphism $\mathcal{W}(T)\simeq\mathcal{W}(0)$ are discussed.


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Article Information

TitleOn $C^*$-algebra generated by Fock representation of Wick algebra with braided coefficients
SourceMethods Funct. Anal. Topology, Vol. 17 (2011), no. 2, 168-173
MathSciNet MR2849476
CopyrightThe Author(s) 2011 (CC BY-SA)

Authors Information

D. Proskurin
Kyiv Taras Shevchenko University, Cybernetics Department, 64 Volodymyrska, Kyiv, 01033, Ukraine 


Citation Example

D. Proskurin, On $C^*$-algebra generated by Fock representation of Wick algebra with braided coefficients, Methods Funct. Anal. Topology 17 (2011), no. 2, 168-173.


BibTex

@article {MFAT586,
    AUTHOR = {Proskurin, D.},
     TITLE = {On $C^*$-algebra generated by Fock representation of Wick algebra with braided coefficients},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {17},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {168-173},
      ISSN = {1029-3531},
       URL = {http://mfat.imath.kiev.ua/article/?id=586},
}


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