Arens regularity and point Arens regularity of semigroup algebras
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DOI: 10.1007/s11117-019-00662-8
Abstract: The purpose of this article is to study the concepts Arens regularity for semigroup algebras $$M_a(S)$$Ma(S), $$\ell ^1(S)$$ℓ1(S), and $${ LUC}(S)^*$$LUC(S)∗. We give a necessary and sufficient condition for $$M_a(S)$$Ma(S) to be pointwise Arens regular.… read more here.
Keywords: regularity semigroup; regularity; semigroup algebras; regularity point ... See more keywords
Ideals of the Quantum Group Algebra, Arens Regularity and Weakly Compact Multipliers
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DOI: 10.4153/s0008439520000077
Abstract: Abstract Let $\mathbb{G}$ be a locally compact quantum group and let $I$ be a closed ideal of $L^{1}(\mathbb{G})$ with $y|_{I}\neq 0$ for some $y\in \text{sp}(L^{1}(\mathbb{G}))$. In this paper, we give a characterization for compactness of… read more here.
Keywords: quantum group; ideals quantum; group algebra; arens regularity ... See more keywords