English

Near inclusions of amenable operator algebras

Operator Algebras 2014-02-26 v1 Functional Analysis

Abstract

We prove that if an amenable operator algebra is nearly contained in a complemented dual operator algebra, then it can be embedded inside this dual operator algebra via a similarity. The proof relies on a B.E. Johnson Theorem on approximately multiplicative maps.

Keywords

Cite

@article{arxiv.1103.5225,
  title  = {Near inclusions of amenable operator algebras},
  author = {Jean Roydor},
  journal= {arXiv preprint arXiv:1103.5225},
  year   = {2014}
}

Comments

9 pages. Accepted at Bull. London Math. Soc