Journal article
Character theory of infinite wreath products
International journal of mathematics and mathematical sciences, v 2005(9), pp 1365-1379
2005
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.” TheK0-invariant of the groupC∗-algebra is also determined.
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7 citations in Scopus
Details
- Title
- Character theory of infinite wreath products
- Creators
- Robert Boyer - Department of Mathematics, Drexel University, Philadelphia 19104, PA, USA
- Publication Details
- International journal of mathematics and mathematical sciences, v 2005(9), pp 1365-1379
- Publisher
- Wiley
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Scopus ID
- 2-s2.0-27744603452
- Other Identifier
- 991014878209304721