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Keywords:
left $\varphi$-biflat; Segal algebra; semigroup algebra; locally compact group
left $\varphi$-biflat; Segal algebra; semigroup algebra; locally compact group
Summary:
We study the notion of left $\varphi$-biflatness for Segal algebras and semigroup algebras. We show that the Segal algebra $S(G)$ is left $\varphi$-biflat if and only if $G$ is amenable. Also we characterize left $\varphi$-biflatness of semigroup algebra $l^{1}(S)$ in terms of biflatness, when $S$ is a Clifford semigroup.
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