C^{\ast}-algebras associated with branched coverings
In this note we analyze the C^{\ast}-algebra associated with a branched covering both as a groupoid C^{\ast}-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 rela...
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Veröffentlicht in: | Proceedings of the American Mathematical Society 2001-04, Vol.129 (4), p.1077-1086 |
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container_title | Proceedings of the American Mathematical Society |
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creator | Deaconu, Valentin Muhly, Paul S. |
description | In this note we analyze the C^{\ast}-algebra associated with a branched covering both as a groupoid C^{\ast}-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. |
doi_str_mv | 10.1090/S0002-9939-00-05697-5 |
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source | JSTOR Mathematics and Statistics; American Mathematical Society Publications (Freely Accessible); American Mathematical Society Publications; EZB-FREE-00999 freely available EZB journals; JSTOR |
subjects | Adjoints Algebra Equivalence relation Homeomorphism Inner products Mathematical theorems Operator theory Quotients Tensors |
title | C^{\ast}-algebras associated with branched coverings |
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