CROSSED-PRODUCT C*-ALGEBRAS FOR CONFORMALAUTOMORPHISMS OF THE DISK

摘要

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 description of the algebras.