Near inclusions of amenable operator algebras

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.

9 pages. Accepted at Bull. London Math. Soc

References in corpus (1)

• Perturbations of nuclear C*-algebras