Arens regularity of certain weighted semigroup algebras and countability
Functional Analysis
2015-01-27 v1
Abstract
It is known that every countable semigroup admits a weight w for which the semigroup algebra l_1(S,w) is Arens regular and no uncountable group admits such a weight; see [4]. In this paper, among other things, we show that for a large class of semigroups, the Arens regularity of the weighted semigroup algebra l_1(S,w) implies the countability of S.
Cite
@article{arxiv.1501.06410,
title = {Arens regularity of certain weighted semigroup algebras and countability},
author = {B. Khodsiani and A. Rejali and H. R. Ebrahimi Vishki},
journal= {arXiv preprint arXiv:1501.06410},
year = {2015}
}