The C*-algebra generated by irreducible Toeplitz and composition operators

Masoud Salehi Sarvestani; Massoud Amini

The C*-algebra generated by irreducible Toeplitz and composition operators

Operator Algebras 2014-08-06 v1

Authors: Masoud Salehi Sarvestani , Massoud Amini

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 composition operators with automorphism symbols, we show that this algebra is not isomorphic to the one generated by the shift and composition operators.

Keywords

hilbert modules c*-algebras toeplitz operators

Cite

@article{arxiv.1408.1057,
  title  = {The C*-algebra generated by irreducible Toeplitz and composition operators},
  author = {Masoud Salehi Sarvestani and Massoud Amini},
  journal= {arXiv preprint arXiv:1408.1057},
  year   = {2014}
}

Comments

14 pages, 2 figures

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