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C*-Algebras associated with branched coverings
Journal article   Open access   Peer reviewed

C*-Algebras associated with branched coverings

Valentin Deaconu and Paul S. Muhly
Proceedings of the American Mathematical Society, Vol.129(4), pp.1077-1086
04/01/2001
DOI: 10.1090/s0002-9939-00-05697-5
url
https://doi.org/10.1090/s0002-9939-00-05697-5View
Published (Version of record) Open Access

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.
Dynamical Systems Branched coverings C-algebras

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