For countable amenable groups, the left and right ℓ²-Dirichlet subspaces coincide if and only if the group is an FC-group.
Group cohomology, harmonic functions and the first
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Asymmetry of $\ell^{2}$-cohomology via skewed F{\o}lner geometry
For countable amenable groups, the left and right ℓ²-Dirichlet subspaces coincide if and only if the group is an FC-group.