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

• Autorzy: Takeshi Hirai , Etsuko Hirai
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 22A25: Representations of general topological groups and semigroups
• 20C32: Representations of infinite symmetric groups
• 46L10: General theory of von Neumann algebras
• 22D25: C * -algebras and W * -algebras in relation to group representations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 73
• Numer: 1
• Strony: 207-221

Daty

wydano

2006

Twórcy

autor

Takeshi Hirai

• 22-8 Nakazaichi-Cho, Iwakura, Sakyo-Ku, Kyoto 606-0027, Japan

autor

Etsuko Hirai

• Department of Mathematics, Faculty of Sciences, Kyoto Sangyo University, Kita-Ku, Kyoto 603-8555, Japan

Identyfikatory

DOI

10.4064/bc73-0-15