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On character pseudo-amenable semigroup algebras. (English) Zbl 1396.46039

The authors study character amenability and character pseudo-amenability of Banach algebras. In particular, they prove that, for a Brandt semigroup \(S\) over the group \(G\), if \(\ell ^1(S)\) is left or right character pseudo-amenable, then \(G\) is an amenable group.

MSC:

46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
43A07 Means on groups, semigroups, etc.; amenable groups
46H20 Structure, classification of topological algebras
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