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Proceedings of the American Mathematical Society

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Irreducible representations of the Cuntz algebra $\mathcal {O}_N$
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Proc. Amer. Math. Soc. 127 (1999), 3583-3590 Request permission

Abstract:

In this paper, we establish formulas for the configuration of a special class of irreducible representations of the Cuntz algebra $\mathcal {O}_{N}$, $N=2,3,\dots ,\infty$. These irreducible representations arise as subrepresentations of naturally occurring representations of $\mathcal {O}_{N}$ acting in $L^{2}\left ( \mathbb {T}\right )$ and arise from consideration of multiresolution wavelet filters.
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Additional Information
  • Eui-Chai Jeong
  • Affiliation: Department of Mathematics, College of Natural Sciences, Seoul National University, Seoul 151-742, Korea
  • Email: jeong@cau.ac.kr
  • Received by editor(s): February 16, 1998
  • Published electronically: May 17, 1999
  • Communicated by: David R. Larson
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 3583-3590
  • MSC (1991): Primary 46L30, 46L55, 46L89, 47A13, 47A67; Secondary 47A20, 47D25, 43A65
  • DOI: https://doi.org/10.1090/S0002-9939-99-05018-2
  • MathSciNet review: 1621953