Ring C*-algebras

Li, X. (2010) Ring C*-algebras. Mathematische Annalen, 348(4), pp. 859-898. (doi: 10.1007/s00208-010-0502-x)

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Abstract

We associate reduced and full C*-algebras to arbitrary rings and study the inner structure of these ring C*-algebras. As a result, we obtain conditions for them to be purely infinite and simple. We also discuss several examples. Originally, our motivation comes from algebraic number theory.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Li, Professor Xin
Authors: Li, X.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematische Annalen
Publisher:Springer
ISSN:0025-5831
ISSN (Online):1432-1807
Published Online:10 March 2010

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