C*-algebras generated by multiplication operators and composition operators with rational symbol

Hiroyasu Hamada

Let $R$ be a rational function of degree at least two, let $J_R$ be the Julia set of $R$ and let ${\mu }^L$ be the Lyubich measure of $R$. We study the C${}^{\ast }$-algebra ${\mathcal{MC}}_R$ ge…