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arXiv · 2504.11614

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

Esteban Andruchow
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Abstract

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

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Esteban Andruchow. 2025-04-15. The C$^*$-algebra of a composition reflection. https://arxiv.org/abs/2504.11614

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