Crossed-product C*-algebras for conformal automorphisms of the disk
Operator Algebras
2011-10-10 v4 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.math/0511331,
title = {Crossed-product C*-algebras for conformal automorphisms of the disk},
author = {Man-Duen Choi and Frederic Latremoliere},
journal= {arXiv preprint arXiv:math/0511331},
year = {2011}
}
Comments
31 pages. Submitted for publication. Improved Theorem 3.2, one new reference