Irreducible representations

of the Cuntz algebra

Author:
Eui-Chai Jeong

Journal:
Proc. Amer. Math. Soc. **127** (1999), 3583-3590

MSC (1991):
Primary 46L30, 46L55, 46L89, 47A13, 47A67; Secondary 47A20, 47D25, 43A65

Published electronically:
May 17, 1999

MathSciNet review:
1621953

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we establish formulas for the configuration of a special class of irreducible representations of the Cuntz algebra , . These irreducible representations arise as subrepresentations of naturally occurring representations of acting in 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

DOI:
https://doi.org/10.1090/S0002-9939-99-05018-2

Keywords:
$C^{\ast}$\nobreakdash-algebra,
wavelet,
irreducible representation

Received by editor(s):
February 16, 1998

Published electronically:
May 17, 1999

Communicated by:
David R. Larson

Article copyright:
© Copyright 1999
American Mathematical Society