For finitely generated nilpotent groups, the ℓ²-Dirichlet spaces from left and right regular actions coincide if and only if the group is virtually abelian.
Geometric Group Theory, Volume 2 , series =
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Asymmetry of $\ell^{2}$-cohomology via skewed F{\o}lner geometry
For finitely generated nilpotent groups, the ℓ²-Dirichlet spaces from left and right regular actions coincide if and only if the group is virtually abelian.