Robert P. Boyer, Yun S. Yoo. Source: Annals of Functional Analysis, Volume 10, Number 1, 97--105.Abstract:
Using $C^{*}$ -algebraic techniques and especially AF-algebras, we present a complete classification of the continuous unitary representations for a class of infinite wreath product groups. These nonlocally compact groups are realized by a topological completion of the semidirect product of the countably infinite symmetric group acting on the countable direct product of a finite Abelian group.