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Article Dans Une Revue Israel Journal of Mathematics Année : 2020

A new lattice invariant for lattices in totally disconnected locally compact groups

Résumé

We introduce and explore a natural rank for totally disconnected locally compact groups called the bounded conjugacy rank. This rank is shown to be a lattice invariant for lattices in sigma compact totally disconnected locally compact groups; that is to say, for a given sigma compact totally disconnected locally compact group, some lattice has bounded conjugacy rank n if and only if every lattice has bounded conjugacy rank n. Several examples are then presented.
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Dates et versions

hal-01916002 , version 1 (08-11-2018)

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Bruno Duchesne, Robin Tucker-Drob, Phillip Wesolek. A new lattice invariant for lattices in totally disconnected locally compact groups. Israel Journal of Mathematics, 2020, 240, pp.539-565. ⟨10.1007/s11856-020-2072-2⟩. ⟨hal-01916002⟩
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