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Restricted algebras on inverse semigroups I, representation theory

✍ Scribed by Massoud Amini; Alireza Medghalchi

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 150 KB
Volume: 279
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200410451

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✦ Synopsis

Abstract

The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids. This is the first in a series of papers in which we have investigated a similar relation on inverse semigroups. We use a new concept of “restricted” representations and study the restricted semigroup algebras and corresponding C *‐algebras. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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