Topological Brandt semigroups |
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Authors: | H Samea |
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Institution: | 1. Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran
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Abstract: | In the present paper, the properties of a locally compact Hausdorff topological Brandt semigroup, and the relation between its semigroup algebras and ? 1-Munn algebras over group algebras are investigated. It is proved that for each locally compact Hausdorff topological group G, and each index set I, there exists a locally compact Hausdorff topological Brandt semigroup S=B(G,I) such that the Banach algebras $\mathcal {LM}_{I}(M(G))$ and $\mathcal{LM}_{I}(L^{1}(G))$ are isometrically isomorphic to M(S)/? 1({0}) and M a (S)/? 1({0}), respectively. |
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