Choi, Yemon (2014) Singly generated operator algebras satisfying weakened versions of amenability. In: Algebraic methods in functional analysis : the Victor Shulman anniversary volume. Operator Theory: Advances and Applications . Springer Verlag, Basel, pp. 33-44. ISBN 9783034805018
Full text not available from this repository.Abstract
We construct a singly generated subalgebra of K(H) which is nonamenable, yet is boundedly approximately contractible. The example embeds into a homogeneous von Neumann algebra. We also observe that there are singly generated, biflat subalgebras of finite Type I von Neumann algebras, which are not amenable (and hence are not isomorphic to C*-algebras). Such an example can be used to show that a certain extension property for commutative operator algebras, which is shown in [3] to follow from amenability, does not necessarily imply amenability.