C*-algebras associated with branched coverings

Authors
Deaconu, V Muhly, PS
Citation
V. Deaconu et Ps. Muhly, C*-algebras associated with branched coverings, P AM MATH S, 129(4), 2001, pp. 1077-1086
Citations number
22
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
4
Year of publication
2001
Pages
1077 - 1086
Database
ISI
SICI code
0002-9939(2001)129:4<1077:CAWBC>2.0.ZU;2-B
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 ratio nal maps on the Riemann sphere.