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

Year: 2025
Type: preprint
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 $C_af=f\circφ_a$, where $$ φ_a(z)=\frac{a-z}{1-\bar{a}z}, $$ for $|a|<1$. Also several operators related to $C_a$ are examined.
Language: English
Open Access status: green
OpenAlex ID: W6979370727
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