Toeplitz-Composition C*-Algebras

Details Toeplitz-Composition C*-Algebras Toeplitz-Composition C*-Algebras

2006-08-17

arxiv.org/abs/math/0608445v1

Mathematics

Operator Algebras

20 pages To appear in Journal of Operator Theory

Scientific paper

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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