Restricted algebras on inverse semigroups I, representation theory
Massoud Amini, Alireza Medghalchi
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.
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