Near inclusions of amenable operator algebras

Details Near inclusions of amenable operator algebras Near inclusions of amenable operator algebras

2011-03-27

arxiv.org/abs/1103.5225v1

Mathematics

Operator Algebras

9 pages. Accepted at Bull. London Math. Soc

Scientific paper

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.

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