Ore localization of amenable monoid actions and applications towards entropy $-$ addition formulas and the bridge theorem

Dikran Dikranjan, Anna Giordano Bruno, Simone Virili

For a left action $S\stackrel{\lambda }{\curvearrowright }X$ of a cancellative right amenable monoid $S$ on a discrete Abelian group $X$, we construct its Ore localization $G\overset{λ^*}{\cu…