Arens regularity of inverse semigroup algebras‎

Document Type : Research Paper

Authors

University of Isfahan

Abstract

‎We present a characterization of Arens regular semigroup algebras‎
‎$\ell^1(S)$‎, ‎for a large class of semigroups‎. ‎Mainly‎, ‎we show that‎
‎if the set of idempotents of an inverse semigroup $S$ is finite‎,
‎then $\ell^1(S)$ is Arens regular if and only if $S$ is finite‎.

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Main Subjects