A note on quasi R*-invariant measures on semigroups

Abstract

A characterization of quasi r*-invariant measures on metric topological semigroups is obtained by showing that their support has a left group structure thus generalizing previously known results for relatively r*-invariant measures and the topo-algebraic structure of their support.

Keywords

• measures on topological semigroups. Radon
• invariant
• absolutely continuous measures; metric semigroups; left groups; Baire space.