Let be the wreath product of a compact group T with the infinite symmetric group . We study the characters of factor representations of finite type of G, and give a formula which expresses all the characters explicitly.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-15, author = {Takeshi Hirai and Etsuko Hirai}, title = {Character formula for wreath products of compact groups with the infinite symmetric group}, journal = {Banach Center Publications}, volume = {72}, year = {2006}, pages = {207-221}, zbl = {1147.22005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-15} }
Takeshi Hirai; Etsuko Hirai. Character formula for wreath products of compact groups with the infinite symmetric group. Banach Center Publications, Tome 72 (2006) pp. 207-221. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-15/