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2017 The $C^*$-algebra generated by irreducibleToeplitz and composition operators
Massoud Salehi Sarvestani, Massoud Amini
Rocky Mountain J. Math. 47(4): 1301-1316 (2017). DOI: 10.1216/RMJ-2017-47-4-1301

Abstract

We describe the $C^*$-algebra generated by an irreducible Toeplitz operator~$T_{\psi }$, with continuous symbol~$\psi $ on the unit circle $\mathbb {T}$, and finitely many composition operators on the Hardy space $H^2$ induced by certain linear fractional self-maps of the unit disc, modulo the ideal of compact operators $K(H^2)$. For specific automorphism-induced composition operators and certain types of irreducible Toeplitz operators, we show that the above $C^*$-al\-ge\-bra is not isomorphic to that generated by the shift and composition operators.

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Massoud Salehi Sarvestani. Massoud Amini. "The $C^*$-algebra generated by irreducibleToeplitz and composition operators." Rocky Mountain J. Math. 47 (4) 1301 - 1316, 2017. https://doi.org/10.1216/RMJ-2017-47-4-1301

Information

Published: 2017
First available in Project Euclid: 6 August 2017

zbMATH: 06790015
MathSciNet: MR3689955
Digital Object Identifier: 10.1216/RMJ-2017-47-4-1301

Subjects:
Primary: 47B32, 47B33

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

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Vol.47 • No. 4 • 2017
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