Refine search
Actions for selected content:
2 results
Elementary amenability and almost finiteness
- Part of
-
- Journal:
- Compositio Mathematica / Volume 161 / Issue 12 / December 2025
- Published online by Cambridge University Press:
- 21 April 2026, pp. 3321-3337
- Print publication:
- December 2025
-
- Article
-
- You have access
- Open access
- HTML
- Export citation
-
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
${\mathcal{Z}}$-stable and classified by their Elliott invariant.
On tracial
${\mathcal {Z}}$-stability of simple non-unital 
$\mathrm {C}^*$-algebras
- Part of
-
- Journal:
- Canadian Journal of Mathematics , First View
- Published online by Cambridge University Press:
- 04 April 2023, pp. 1-20
-
- Article
-
- You have access
- Open access
- HTML
- Export citation
-
We investigate the notion of tracial
${\mathcal {Z}}$-stability beyond unital 
$\mathrm {C}^*$-algebras, and we prove that this notion is equivalent to 
${\mathcal {Z}}$-stability in the class of separable simple nuclear 
$\mathrm {C}^*$-algebras.
