English

The C$^*$-algebra of a composition reflection

Operator Algebras 2025-04-22 v2 Functional Analysis

Abstract

We study the C^* algebra generated by the composition operator CaC_a acting on the Hardy space H2H^2 of the unit disk, given by Caf=fφaC_af=f\circ\varphi_a, where φa(z)=az1aˉz, \varphi_a(z)=\frac{a-z}{1-\bar{a}z}, for a<1|a|<1. Also several operators related to CaC_a are examined.

Keywords

Cite

@article{arxiv.2504.11614,
  title  = {The C$^*$-algebra of a composition reflection},
  author = {Esteban Andruchow},
  journal= {arXiv preprint arXiv:2504.11614},
  year   = {2025}
}
R2 v1 2026-06-28T22:59:46.852Z