English

Ring C*-algebras

Operator Algebras 2009-06-01 v1 Rings and Algebras

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. Originially, our motivation comes from algebraic number theory.

Keywords

Cite

@article{arxiv.0905.4861,
  title  = {Ring C*-algebras},
  author = {Xin Li},
  journal= {arXiv preprint arXiv:0905.4861},
  year   = {2009}
}

Comments

41 pages

R2 v1 2026-06-21T13:07:35.902Z