English

A new bicommutant theorem

Operator Algebras 2017-04-19 v5 Logic

Abstract

We prove an analogue of Voiculescu's theorem: Relative bicommutant of a separable unital subalgebra AA of an ultraproduct of simple unital C*-algebras is equal to AA.

Keywords

Cite

@article{arxiv.1603.02105,
  title  = {A new bicommutant theorem},
  author = {Ilijas Farah},
  journal= {arXiv preprint arXiv:1603.02105},
  year   = {2017}
}

Comments

Minor corrections and clarifications. To appear in Pacific J. Math

R2 v1 2026-06-22T13:05:20.701Z