A property for locally convex ${}^{\ast }$-algebras related to Property $(T)$ and character amenability

Xiao Chen, Anthony To-Ming Lau, Chi-Keung Ng

For a locally convex ${}^{\ast }$-algebra $A$ equipped with a fixed continuous ${}^{\ast }$-character $\epsilon$, we define a cohomological property, called property $(FH)$, which is similar to…