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.
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Research supported by the Deutsche Forschungsgemeinschaft and the Deutsche Telekom Stiftung. This work has been done in the context of the author’s PhD project at the University of Muenster.
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Li, X. Ring C*-algebras. Math. Ann. 348, 859–898 (2010). https://doi.org/10.1007/s00208-010-0502-x
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DOI: https://doi.org/10.1007/s00208-010-0502-x