English

Obstructions to countable saturation in corona algebras

Logic 2022-06-09 v2 Operator Algebras

Abstract

We study the extent of countable saturation for coronas of abelian C*-algebras. In particular, we show that the corona algebra of C0(\bbRn)C_0(\bbR^n) is countably saturated if and only if n=1n=1.

Keywords

Cite

@article{arxiv.2203.09351,
  title  = {Obstructions to countable saturation in corona algebras},
  author = {Ilijas Farah and Alessandro Vignati},
  journal= {arXiv preprint arXiv:2203.09351},
  year   = {2022}
}

Comments

15 pages, second version includes minor fixes

R2 v1 2026-06-24T10:17:10.082Z