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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2008 Volume 29, Pages 176–185 (Mi cmfd129)

This article is cited in 2 papers

Deformations of CCR, their $^*$-representations, and enveloping $C^*$-algebras

D. P. Proskurina, Yu. S. Samoilenkob

a National Taras Shevchenko University of Kyiv, The Faculty of Cybernetics
b Institute of Mathematics, Ukrainian National Academy of Sciences

Abstract: In this paper we provide a review of recent results related to the representation theory and properties of enveloping $C^*$-algebras of Wick deformations for canonical commutative and anticommutative relations of quantum mechanics.

UDC: 517.98


 English version:
Journal of Mathematical Sciences, 2010, 164:4, 648–657

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