Using C*-algebraic techniques and especially AF-algebras, we present a complete classification of the continuous unitary representations for a class of infinite wreath product groups. These nonlocally compact groups are realized by a topological completion of the semidirect product of the countably infinite symmetric group acting on the countable direct product of a finite Abelian group.
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Details
Title
UNITARY REPRESENTATIONS OF INFINITE WREATH PRODUCTS
Creators
Robert P. Boyer - Drexel Univ, Dept Math, Philadelphia, PA 19104 USA
Yun S. Yoo - Community Coll Philadelphia, Dept Math, Philadelphia, PA USA
Publication Details
Annals of functional analysis, v 10(1), pp 97-105
Publisher
Duke Univ Press
Number of pages
9
Resource Type
Journal article
Language
English
Academic Unit
[Retired Faculty]
Web of Science ID
WOS:000455921200008
Scopus ID
2-s2.0-85063604623
Other Identifier
991019167970704721
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