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Crossed-product C*-algebras for conformal automorphisms of the disk

Man-Duen Choi·Frederic Latremoliere
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Abstract

We study the C*-algebra crossed-product of the closed unit disk by the action of one of its conformal automorphisms. After classifying the conformal automorphisms up to topological conjugacy, we investigate, for each class, the irreducible representations of the full C*-crossed-products, and derive their spectrum and a complete desciption of the algebras.

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Man-Duen Choi, Frederic Latremoliere. 2005-11-14. Crossed-product C*-algebras for conformal automorphisms of the disk. https://arxiv.org/abs/math/0511331

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