Abstract
In this paper we introduce the notion of module character amenable Banach algebras and show that they possess module character virtual (approximate) diagonals. As a basic example, we show that for an inverse semigroup S with the set of idempotents E, the semigroup algebra ℓ 1(S) is module character amenable as an ℓ 1(E)-module if only if S is amenable.
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M. Amini was partly supported by a grant from IPM (No. 90430215).
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Bodaghi, A., Amini, M. Module character amenability of Banach algebras. Arch. Math. 99, 353–365 (2012). https://doi.org/10.1007/s00013-012-0430-y
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DOI: https://doi.org/10.1007/s00013-012-0430-y