Character theory of infinite wreath products

Robert Boyer

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-15

Abstract:

The representation theory of infinite wreath product groups is developed by means of the relationship between their group algebras and conjugacy classes with those of the infinite symmetric group. Further, since these groups are inductive limits of finite groups, their finite characters can be classified as limits of normalized irreducible characters of prelimit finite groups. This identification is called the “asymptotic character formula.” The K 0 -invariant of the group C ∗ -algebra is also determined.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:985679

DOI: 10.1155/IJMMS.2005.1365

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