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.
CITATION STYLE
Choi, Y. (2014). Singly generated operator algebras satisfying weakened versions of amenability. Operator Theory: Advances and Applications, 233, 33–44. https://doi.org/10.1007/978-3-0348-0502-5_3
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