Elementary amenability and almost finiteness
arXiv:2107.05273 · doi:10.1017/S0010437X26102899
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.
17 pages, main argument corrected and simplified