Restricted algebras on inverse semigroups I, representation theory

Details Restricted algebras on inverse semigroups I, representation theory Restricted algebras on inverse semigroups I, representation theory

2003-08-27

arxiv.org/abs/math/0308256v1

Mathematics

Operator Algebras

13 pages

Scientific paper

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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