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arXiv · 1501.06410

Arens regularity of certain weighted semigroup algebras and countability

B. Khodsiani·A. Rejali·H. R. Ebrahimi Vishki
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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.

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B. Khodsiani, A. Rejali, H. R. Ebrahimi Vishki. 2015-01-26. Arens regularity of certain weighted semigroup algebras and countability. https://arxiv.org/abs/1501.06410

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