Abstract

For two Banach algebras A and B and for nonzero characters $$\theta $$ on B, the $$\theta $$ -Lau product is denoted by $$A\times _\theta B$$ . We study some homological properties of this Banach algebra such as Connes-amenability, projectivity, injectivity, flatness, approximate biflatness and $$\phi $$ -biprojectivity.

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