Using Morita equivalence, we show that bounded Hochschild (co)-homology of \(\ell ^1\)-Munn Banach algebras are isomorphic to those of the underlying Banach algebra A when the related sandwich matrix is invertible over Inv(A). We finally apply our result to semigroup algebras.

中文翻译：

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$$ \ ell ^ 1 $$ℓ1 -Munn Banach代数的同调性质

使用Morita等价，我们证明当相关三明治矩阵在Inv（A）上可逆时，\（\ ell ^ 1 \）- Munn Banach代数的有界Hochschild（co）-同构性与基础Banach代数A的同构同构。最后，我们将结果应用于半群代数。