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Toeplitz-Composition C*-Algebras

Thomas L. Kriete·Barbara D. MacCluer·Jennifer L. Moorhouse
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Abstract

Let $ζ$ and $η$ be distinct points on the unit circle and suppose that $ϕ$ is a linear-fractional self-map of the unit disk D, not an automorphism, with $ϕ(ζ)=η$. We describe the C*-algebra generated by the associated composition operator $C_ϕ$ and the shift operator, acting on the Hardy space on D.

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Thomas L. Kriete, Barbara D. MacCluer, Jennifer L. Moorhouse. 2006-08-17. Toeplitz-Composition C*-Algebras. https://arxiv.org/abs/math/0608445

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