For 1<p<∞, F^p_λ(G) is p-nuclear if and only if G is amenable, resolving Phillips' open problem.
Connes, On the cohomology of operator algebras, J
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$p$-nuclearity of reduced group $L^p$-operator algebras
For 1<p<∞, F^p_λ(G) is p-nuclear if and only if G is amenable, resolving Phillips' open problem.