$C^{\ast }$-algebras associated with branched coverings
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- by Valentin Deaconu and Paul S. Muhly PDF
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Abstract:
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.References
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Additional Information
- Valentin Deaconu
- Affiliation: Department of Mathematics, University of Nevada, Reno, Nevada 89557
- Email: vdeaconu@math.unr.edu
- Paul S. Muhly
- Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
- Email: muhly@math.uiowa.edu
- Received by editor(s): June 30, 1999
- Published electronically: October 4, 2000
- Additional Notes: This research was supported in part by grants from the National Science Foundation.
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1077-1086
- MSC (1991): Primary 46L55, 43A35; Secondary 43A07, 43A15, 43A22
- DOI: https://doi.org/10.1090/S0002-9939-00-05697-5
- MathSciNet review: 1814145