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Irreducible representations of the Cuntz algebra

Authors:	Eui-Chai Jeong

Institution:	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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