Character formula for wreath products of compact groups with the infinite symmetric group
Volume 73 / 2006
Banach Center Publications 73 (2006), 207-221
MSC: Primary 22A25; Secondary 20C32, 22D25, 46L10.
DOI: 10.4064/bc73-0-15
Abstract
Let $G = {\mathfrak S}_\infty(T)$ be the wreath product of a compact group $T$ with the infinite symmetric group ${\mathfrak S}_\infty$. We study the characters of factor representations of finite type of $G$, and give a formula which expresses all the characters explicitly.
