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The prime spectrum of solenoidal manifolds
Steven Hurder, Olga Lukina
A solenoidal manifold is the inverse limit space of a tower of proper coverings of a compact manifold. In this work, we introduce new invariants for solenoidal manifolds, their asy…
Wild Cantor actions
Jesús Álvarez López, Ramón Barral Lijó, Olga Lukina +1
The discriminant group of a minimal equicontinuous action of a group on a Cantor set is the subgroup of the closure of the action in the group of homeomorphisms of , con…
Cantor dynamics of renormalizable groups
Steven Hurder, Olga Lukina, Wouter Van Limbeek
A group is said to be finitely non-co-Hopfian, or renormalizable, if there exists a self-embedding whose image is a proper subgroup of finite index. Such a pro…
Measures and stabilizers of group Cantor actions
Maik Gröger, Olga Lukina
We consider a minimal equicontinuous action of a finitely generated group on a Cantor set with invariant probability measure , and stabilizers of points for such an acti…
Nilpotent Cantor actions
Steven Hurder, Olga Lukina
A nilpotent Cantor action is a minimal equicontinuous action on a Cantor set , where contains a finitely-generated nilpotent s…
Limit group invariants for non-free Cantor actions
Steven Hurder, Olga Lukina
A Cantor action is a minimal equicontinuous action of a countably generated group G on a Cantor space X. Such actions are also called generalized odometers in the literature. In th…