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Irreducible representations of the Cuntz algebra
Authors:Eui-Chai Jeong
Affiliation:Department of Mathematics, College of Natural Sciences, Seoul National University, Seoul 151-742, Korea
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.

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