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Brown-McCoy semisimplicity of certain Banach algebras. (English) Zbl 1072.46030

Port. Math. (N.S.) 61, No. 4, 393-397 (2004); erratum ibid. 62, No. 2, 245 (2005).
Summary: It is shown that if \(S\) is a free group, a free semigroup, or a free inverse semigroup, then the Brown-McCoy radical of the Banach algebra \(l^1(S)\) is zero.

MSC:

46H05 General theory of topological algebras
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