Restricted algebras on inverse semigroups I, representation theory

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
13 pages

Keywords

Operator Algebras, Representation Theory, 43A35, 43A20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/68391

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308256
 http://arxiv.org/abs/math/0308256

Collections

arXiv