𝐶*-algebras associated with branched coverings

Autor:	Paul S. Muhly, Valentin Deaconu
Rok vydání:	2000
Předmět:	Filtered algebra Discrete mathematics Pure mathematics Applied Mathematics General Mathematics Differential graded algebra Subalgebra Algebra representation Division algebra Cellular algebra Universal enveloping algebra Branched covering Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 129:1077-1086
ISSN:	1088-6826 0002-9939
DOI:	10.1090/s0002-9939-00-05697-5
Popis:	In this note we analyze the C ∗ C^{\ast } -algebra associated with a branched covering both as a groupoid C ∗ 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7b83ced050d56e207e99c2ff019b4b51 https://doi.org/10.1090/s0002-9939-00-05697-5 Zobrazit plný text záznamu