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arXiv 2003-08-27 0 views

Restricted algebras on inverse semigroups I, representation theory

Amini, Massoud · Medghalchi, Alireza

Original · EN

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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