Elementary amenability and almost finiteness
Dynamical Systems
2026-04-22 v3 Operator Algebras
Abstract
We show that every free continuous action of a countably infinite elementary amenable group on a finite-dimensional compact metrizable space is almost finite. As a consequence, the crossed products of minimal such actions are -stable and classified by their Elliott invariant.
Cite
@article{arxiv.2107.05273,
title = {Elementary amenability and almost finiteness},
author = {David Kerr and Petr Naryshkin},
journal= {arXiv preprint arXiv:2107.05273},
year = {2026}
}
Comments
17 pages, main argument corrected and simplified