Connes amenability-like properties
Volume 220 / 2014
Studia Mathematica 220 (2014), 55-72
MSC: Primary 22D15, 43A10; Secondary 43A20, 46H25, 47B47.
DOI: 10.4064/sm220-1-3
Abstract
We introduce and study the notions of $w^*$-approximate Connes amenability and pseudo-Connes amenability for dual Banach algebras. We prove that the dual Banach sequence algebra $\ell ^1$ is not $w^*$-approximately Connes amenable. We show that in general the concepts of pseudo-Connes amenability and Connes amenability are distinct. Moreover the relations between these new notions are also discussed.
