Some homological properties of Banach algebras associated with locally compact groups
Volume 139 / 2015
Colloquium Mathematicum 139 (2015), 259-271 MSC: Primary 46M10, 43A20; Secondary 46H25. DOI: 10.4064/cm139-2-7
We investigate some homological notions of Banach algebras. In particular, for a locally compact group $G$ we characterize the most important properties of $G$ in terms of some homological properties of certain Banach algebras related to this group. Finally, we use these results to study generalized biflatness and biprojectivity of certain products of Segal algebras on $G$.