2 problems

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Finite-dimensional amenable groups have finite-dimensional box spaces
A countable group is finite-dimensional if it has finite asymptotic dimension, and a box space is the coarse disjoint union associated to a sequence of finite-index normal subgroup…
Conjectureopenamenable-groups box-spaces coarse-geometryarXiv posted 3 days ago
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The bounded isomorphism conjecture for box spaces of residually finite groups
Let $G$ be a residually finite group and let $(G_n)$ be a nested sequence of finite-index normal subgroups with trivial intersection. The associated box space is the coarse disjoin…
Conjectureopenbox-spaces coarse-geometry residually-finite-groupsarXiv posted 3 days ago

Finite-dimensional amenable groups have finite-dimensional box spaces