C*-algebras associated with branched coverings
Operator Algebras
2007-05-23 v1
Abstract
In this note we analyze the C*-algebra associated with a branched covering both as a groupoid C*-algebra and as a Cuntz-Pimsner algebra. We determine conditions when the algebra is simple and purely infinite. We indicate how to compute the K-theory of several examples, including one related to rational maps on the Riemann sphere.
Keywords
Cite
@article{arxiv.math/0103185,
title = {C*-algebras associated with branched coverings},
author = {Valentin Deaconu and Paul S. Muhly},
journal= {arXiv preprint arXiv:math/0103185},
year = {2007}
}