A transfer trick yields non-vanishing top ℓ2-Betti numbers for Out(Fn), Aut(Fn) and Torelli groups, vanishing results for subgroups of 3-manifold groups, and ergodic dimension d+1 for F2^d × Z.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GR 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On the top-dimensional $\ell^2$-Betti numbers
A transfer trick yields non-vanishing top ℓ2-Betti numbers for Out(Fn), Aut(Fn) and Torelli groups, vanishing results for subgroups of 3-manifold groups, and ergodic dimension d+1 for F2^d × Z.