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A local characterization for the Cuntz semigroup of AI-algebras

Operator Algebras 2021-03-01 v1

Abstract

We give a local characterization for the Cuntz semigroup of AI-algebras building upon Shen's characterization of dimension groups. Using this result, we provide an abstract characterization for the Cuntz semigroup of AI-algebras.

Keywords

Cite

@article{arxiv.2102.13557,
  title  = {A local characterization for the Cuntz semigroup of AI-algebras},
  author = {Eduard Vilalta},
  journal= {arXiv preprint arXiv:2102.13557},
  year   = {2021}
}

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36 pages