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arXiv math/0103185math.OA
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与分支覆盖相关的C* 代数-代数

C*-algebras associated with branched coverings

Valentin Deaconu, Paul S. Muhly

摘要:

本文将与分支覆盖相联系的C* 代数-代数作为广群C* 代数-代数和Cuntz-Pimsner代数来分析。我们确定条件时,代数是简单的,纯粹的无限。我们指出如何计算的K-理论的几个例子,包括一个有关的有理映射的黎曼球面。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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