Lamplighters over non-amenable groups are not strongly Ulam stable
Representation Theory
2023-01-10 v3 Dynamical Systems
Operator Algebras
Abstract
We prove that a wreath product of an abelian group and a non-amenable group is not strongly Ulam stable. Previously this was known for groups containing free subgroups, due to work of Burger, Ozawa and Thom, and for some surface groups, due to work by Kazhdan. We also show that these wreath products are not deformation rigid.
Cite
@article{arxiv.2009.11738,
title = {Lamplighters over non-amenable groups are not strongly Ulam stable},
author = {Andrei Alpeev},
journal= {arXiv preprint arXiv:2009.11738},
year = {2023}
}
Comments
20 pages, minor changes