Abstract
Let S be a commutative inverse semigroup and let E be its subsemigroup of idempotents. In this paper we define the n-th module cohomology group of Banach algebras and we show that \(\mathcal {H}^{2}_{\ell^{1}(E)}(\ell^{1}(S),\ell^{1}(S)^{(n)})\) is a Banach space for every odd n∈ℕ.
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Communicated by Jimmie D. Lawson.
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Nasrabadi, E., Pourabbas, A. Second module cohomology group of inverse semigroup algebras. Semigroup Forum 81, 269–276 (2010). https://doi.org/10.1007/s00233-010-9228-z
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DOI: https://doi.org/10.1007/s00233-010-9228-z