Character theory of infinite wreath products | Zendy

Robert P. Boyer | Zendy

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Character theory of infinite wreath products

Author(s) -

Robert P. Boyer

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.1365

Subject(s) - wreath product , conjugacy class , mathematics , character (mathematics) , group (periodic table) , combinatorics , product (mathematics) , geometry , physics , quantum mechanics

The representation theory of infinite wreath productgroups is developed by means of the relationshipbetween their group algebras and conjugacy classeswith those of the infinite symmetric group.Further, since these groups are inductive limits offinite groups, their finite characters can beclassified as limits of normalized irreduciblecharacters of prelimit finite groups. Thisidentification is called the “asymptotic characterformula.” The K0-invariant of the groupC∗-algebra is also determined

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