English

Exchange rings and real rank zero C*-algebras associated with finitely separated graphs

Operator Algebras 2017-05-15 v1 Rings and Algebras

Abstract

We introduce a generalisation of Condition (K) to finitely separated graphs and show that it is equivalent to essential freeness of the associated partial action as well as the exchange property of any of the associated tame algebras. As a consequence, we can show that any tame separated graph algebra with the exchange property is separative.

Keywords

Cite

@article{arxiv.1705.04494,
  title  = {Exchange rings and real rank zero C*-algebras associated with finitely separated graphs},
  author = {Matias Lolk},
  journal= {arXiv preprint arXiv:1705.04494},
  year   = {2017}
}

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41 pages