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arXiv · 1509.01933

Cohomological characterization of $T$-Lau product algebras

N. Razi·A. Pourabbas
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Abstract

Let $A$ and $B$ be Banach algebras and let $T$ be an algebra homomorphism from $B$ into $A$. The Cartesian product space $A\times B$ by $T$- Lau product and $\ell^{1}$- norm becomes a Banach algebra $A\times_{T}B$. We investigate the notions such as injectivity, projectivity and flatness for the Banach algebra $A\times_{T}B$. We also characterize Hochschild cohomology for the Banach algebra $A\times_{T}B$.

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N. Razi, A. Pourabbas. 2015-09-07. Cohomological characterization of $T$-Lau product algebras. https://arxiv.org/abs/1509.01933

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