3 problems

The topological-rank conjecture for L^1 full groups of flows
Let $\mathcal F:\mathbb R\curvearrowright(X,\mu)$ be a measure-preserving flow, and let $n$ be the number of its ergodic components. Write $[\mathcal F]_1$ for its $\mathrm{L}^{1}$ …
openFrom papersergodic-theory full-groups topological-groups
0 responses
3
Maximality conjecture for the $coperatorname{L}^1$ metric on full groups of graphings
Maximality conjecture. The $\mathrm L^1$ metric on the $\mathrm L^1$ full group of $\Phi$ is maximal.
openFrom papersfull-groups geometric-group-theory topological-groups
0 responses
4
Thom's conjecture on discrete free subgroups in the hyperfinite full group
Thom's conjecture. There are no discrete free subgroups of rank $2$ in the full group of the hyperfinite ergodic equivalence relation.
openFrom papersequivalence-relations full-groups measured-group-theory
0 responses
5

The topological-rank conjecture for L^1 full groups of flows