Topological Brandt semigroups (Q1955767)

The author considers certain locally compact Hausdorff semi-topological Brandt semigroups \(B(G,I)\) of \(|x|\) matrix units over \(G\cup\{0\}\), where \(G\) is a locally compact Hausdorff topological group and \(I\) is an index set and studies the relation between the semigroup algebras of \(B(G,I)\) and \(I^1\)-Munn algebras over group algebras. Pertinent preliminaries and precise statements of the results may be found in the text.