English

A dichotomy for central sequence algebras

Operator Algebras 2023-12-01 v1

Abstract

We prove that the central sequence algebra of a separable C*-algebra is either subhomogeneous or non-exact, confirming a conjecture of Enders and Shulman. We also prove analogous dichotomy for other massive C*-algebras.

Keywords

Cite

@article{arxiv.2311.18771,
  title  = {A dichotomy for central sequence algebras},
  author = {Ilijas Farah and Ilan Hirshberg},
  journal= {arXiv preprint arXiv:2311.18771},
  year   = {2023}
}

Comments

6 pages

R2 v1 2026-06-28T13:37:21.593Z