Unitary Representations and Unitary Duals

This graduate textbook introduces the unitary representation theory of groups, emphasizing applications in fields like dynamical systems.It begins with the general theory and motivation, then explores key classes of groups. Abelian and compact groups are treated through Pontryagin duality and the Peter–Weyl theorem. Metabelian groups illustrate links to ergodic theory and lead to the Mackey machin...