English

Restricted algebras on inverse semigroups I, representation theory

Operator Algebras 2007-05-23 v1 Representation Theory

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 CC^*-algebras.

Keywords

Cite

@article{arxiv.math/0308256,
  title  = {Restricted algebras on inverse semigroups I, representation theory},
  author = {Massoud Amini and Alireza Medghalchi},
  journal= {arXiv preprint arXiv:math/0308256},
  year   = {2007}
}

Comments

13 pages

R2 v1 2026-07-22T16:57:11.632Z