Extension of derivations, and Connes-amenability of the enveloping dual Banach algebra

Yemon Choi, Ebrahim Samei, Ross Stokke

If $D:A\to X$ is a derivation from a Banach algebra to a contractive, Banach $A$-bimodule, then one can equip $X^{\ast \ast }$ with an $A^{\ast \ast }$-bimodule structure, such that the second tr…