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Character formula for wreath products of compact groups with the infinite symmetric group

Takeshi Hirai; Etsuko Hirai — 2006

Banach Center Publications

Let $G =_{\infty} (T)$ be the wreath product of a compact group T with the infinite symmetric group $_{\infty}$ . We study the characters of factor representations of finite type of G, and give a formula which expresses all the characters explicitly.

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