\(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis), Unitary representations of locally compact groups, Set functions and measures on topological groups or semigroups, Haar measures, invariant measures, \(L^p\)-spaces and other function spaces on groups, semigroups, etc., Analysis on specific locally compact and other abelian groups, \(L^1\)-algebras on groups, semigroups, etc.