2 citations · 3 across the 8 of their papers we have counts for
11 papers
Compact Invariant Random Subgroups
Tal Cohen, Helge Glöckner, Gil Goffer +1
We study ergodic invariant random subgroups that give full measure to the subset of compact subgroups. We show that in real Lie groups, compactly generated -adic Lie groups, loc…
Critical exponents of boomerang subgroups in the free group
Waltraud Lederle
We construct, for the free group acting on its Cayley tree, boomerang subgroups whose critical exponent is arbitrarily close to the critical exponent of a given finitely generated…
Elementwise conservative actions and new constructions of boomerang subgroups
Yair Glasner, Tobias Hartnick, Waltraud Lederle
We show that countable non-abelian free groups admit uncountably many mutually singular elementwise conservative non-singular random subgroups, which are supported on infinite subg…
Cayley-Abels graphs: Local and global perspectives
Waltraud Lederle
We give an introduction to the Cayley-Abels graph for a totally disconnected, locally compact (tdlc) group. It is a generalization of the Cayley graph. We illustrate that on the on…
On compact uniformly recurrent subgroups
Pierre-Emmanuel Caprace, Gil Goffer, Waltraud Lederle +1
Let a group act on a paracompact, locally compact, Hausdorff space by homeomorphisms and let denote the set of closed subsets of . We endow with the Chabauty…
Strong subgroup recurrence and the Nevo-Stuck-Zimmer theorem
Yair Glasner, Waltraud Lederle
Let be a countable group and its Chabauty space, namely the compact -space consisting of all subgroups of . We call a subgroup a…
Cayley--Abels graphs and invariants of totally disconnected, locally compact groups
Arnbjörg Soffía Árnadóttir, Waltraud Lederle, Rögnvaldur G. Möller
A connected, locally finite graph is a Cayley--Abels graph for a totally disconnected, locally compact group if acts vertex-transitively with compact, open vertex stabi…
Trivalent vertex-transitive graphs with infinite vertex-stabilizers
Arnbjörg Soffía Árnadóttir, Waltraud Lederle, Rögnvaldur G. Möller
We study groups acting vertex-transitively on connected, trivalent graphs such that stabilizers of vertices are infinite. If the action is edge-transitive, we prove that the graph…
Conjugacy and Dynamics in Almost Automorphism Groups of Trees
Gil Goffer, Waltraud Lederle
We determine when two almost automorphisms of a regular tree are conjugate. This is done by combining the classification of conjugacy classes in the automorphism group of a level-h…
Topological full groups and t.d.l.c. completions of Thompson's
Waltraud Lederle
We show how all topological full groups coming from a one-sided irreducible shift of finite type, as studied by Matui, can be re-interpreted as groups of colour-preserving tree alm…
Coloured Neretin Groups
Waltraud Lederle
We give sufficient conditions for a subgroup of a tree almost automorphism group to be isomorphic to the topological full groups of a one-sided shift in the sense of Matui. As an a…