Toeplitz-Composition C*-Algebras

Abstract

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

20 pages To appear in Journal of Operator Theory

References in corpus (1)

• C*-algebras generated by groups of composition operators

Cited by in corpus (6)

• A Semigroup Composition C*-algebra
• Spectra of Composition Operators with Symbols in S(2)
• Compact differences of composition operators
• Fixed Point Composition and Toeplitz-Composition C*-algebras
• Composition operators within singly generated composition C*-algebras
• C*-algebras generated by multiplication operators and composition operators with self-similar maps