• Corpus ID: 208268258

# C*-algebras generated by multiplication operators and composition operators by functions with self-similar branches

@article{Hamada2019CalgebrasGB,
title={C*-algebras generated by multiplication operators and composition operators by functions with self-similar branches},
journal={arXiv: Operator Algebras},
year={2019}
}
• Published 22 November 2019
• Mathematics
• arXiv: Operator Algebras
Let $K$ be a compact metric space and let $\varphi: K \to K$ be continuous. We study C*-algebra $\mathcal{MC}_\varphi$ generated by all multiplication operators by continuous functions on $K$ and a composition operator $C_\varphi$ induced by $\varphi$ on a certain $L^2$ space. Let $\gamma = (\gamma_1, \dots, \gamma_n)$ be a system of proper contractions on $K$. Suppose that $\gamma_1, \dots, \gamma_n$ are inverse branches of $\varphi$ and $K$ is self-similar. We consider the Hutchinson measure…
1 Citations
C*-algebras generated by multiplication operators and composition operators with self-similar maps
Abstract. Let K be a compact metric space and let γ = (γ1, . . . , γn) be a system of proper contractions on K. We study a C∗-algebra MCγ1,...,γn generated by all multiplication operators by

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