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Homological properties of $$\ell ^1$$ ℓ 1 -Munn Banach algebras
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas ( IF 1.8 ) Pub Date : 2021-02-08 , DOI: 10.1007/s13398-020-00990-5
Fereidoun Habibian , Najmeh Mirzasani , Rasoul Nasr-Isfahani

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:

$$ \ ell ^ 1 $$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。

更新日期:2021-02-08
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