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

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

2005-11-14

arxiv.org/abs/math/0511331v4

Houston Journal of Mathematics 36 (2010) 2, pp. 751-779

Mathematics

Operator Algebras

31 pages. Submitted for publication. Improved Theorem 3.2, one new reference

Scientific paper

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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