Characters of groupsErgodic theoryFunctional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.)MathematicsOperator algebrasRepresentations of groupsTopological groupsTopological groups, Lie groups -- Locally compact groups and their algebras -- $C^*$-algebras and $W^*$-Topological groups, Lie groups -- Locally compact groups and their algebras -- Ergodic theory on groupsTopological groups, Lie groups -- Locally compact groups and their algebras -- Unitary representations o.Unitary groups