Toeplitz-Composition C-Algebras
Let $\zeta$ and $\eta$ be distinct points on the unit circle and suppose that $\phi$ is a linear-fractional self-map of the unit disk D, not an automorphism, with $\phi(\zeta)=\eta$. We describe the C*-algebra generated by the associated composition operator $C_{\phi}$ and the shift operator, acting...
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Zusammenfassung: | Let $\zeta$ and $\eta$ be distinct points on the unit circle and suppose that
$\phi$ is a linear-fractional self-map of the unit disk D, not an automorphism,
with $\phi(\zeta)=\eta$. We describe the C*-algebra generated by the associated
composition operator $C_{\phi}$ and the shift operator, acting on the Hardy
space on D. |
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DOI: | 10.48550/arxiv.math/0608445 |