C∗-Algebras associated with branched coverings

Valentin Deaconu; Paul S Muhly

doi:10.1090/S0002-9939-00-05697-5

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C∗-Algebras associated with branched coverings

Journal article

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C∗-Algebras associated with branched coverings

Valentin Deaconu and Paul S Muhly

Proceedings of the American Mathematical Society, Vol.129(4), pp.1077-1086

10/04/2000

DOI: 10.1090/S0002-9939-00-05697-5

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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.

Details

Title: Subtitle: C∗-Algebras associated with branched coverings
Creators: Valentin Deaconu
Paul S Muhly
Resource Type: Journal article
Publication Details: Proceedings of the American Mathematical Society, Vol.129(4), pp.1077-1086
DOI: 10.1090/S0002-9939-00-05697-5
ISSN: 0002-9939
eISSN: 1088-6826
Publisher: American Mathematical Society
Language: English
Date published: 10/04/2000
Academic Unit: Statistics and Actuarial Science; Mathematics
Record Identifier: 9984083843702771

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