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arXiv · 0808.1146

Biflatness and biprojectivity of the Fourier algebra

Volker Runde
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Abstract

We show that the biflatness - in the sense of A. Ya. Helemskii - of the Fourier algebra $A(G)$ of a locally compact group $G$ forces $G$ to either have an abelian subgroup of finite index or to be non-amenable without containing $F_2$, the free group in two generators, as a closed subgroup. An analogous dichotomy is obtained for biprojectivity.

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Volker Runde. 2008-12-30. Biflatness and biprojectivity of the Fourier algebra. https://arxiv.org/abs/0808.1146

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