2 problems

Let $S$ be a cancellative left amenable monoid acting on the compact abelian group $K$ on the left by $\gamma$. Let $\widehat\gamma$ denote the induced dual action on the Pontryagi…

Let $S$ be a cancellative right amenable monoid acting on the abelian group $A$ on the left by $\alpha$. Let $B$ be an $\alpha$-invariant subgroup of $A$, and write $\alpha_B$ and…