C*-algebras associated with branched coverings

Details C*-algebras associated with branched coverings C*-algebras associated with branched coverings

2001-03-27

arxiv.org/abs/math/0103185v1

Proceedings of the AMS vol 129 No. 4 (2000) pp 1077-1086

Mathematics

Operator Algebras

Scientific paper

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.

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