Cohomological characterization of $T$Lau product algebras
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 $A\times_{T}B$.
 Publication:

arXiv eprints
 Pub Date:
 September 2015
 DOI:
 10.48550/arXiv.1509.01933
 arXiv:
 arXiv:1509.01933
 Bibcode:
 2015arXiv150901933R
 Keywords:

 Mathematics  Functional Analysis