Isomorphism rigidity of commuting automorphisms
| dc.creator | Bhattacharya, Siddhartha | |
| dc.date | 2004-12-01 | |
| dc.date.accessioned | 2026-07-07T05:14:52Z | |
| dc.date.available | 2026-07-07T05:14:52Z | |
| dc.description | Let $d > 1$, and let $(X,α)$ and $(Y,β)$ be two zero-entropy ${\mathbb{Z}}^d$-actions on compact abelian groups by $d$ commuting automorphisms. We show that if all lower rank subactions of $α$ and $β$ have completely positive entropy, then any measurable equivariant map from $X$ to $Y$ is an affine map. In particular, two such actions are measurably conjugate if and only if they are algebraically conjugate. | |
| dc.description | 14 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0412026 | |
| dc.identifier | http://arxiv.org/abs/math/0412026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73448 | |
| dc.subject | Dynamical Systems | |
| dc.title | Isomorphism rigidity of commuting automorphisms | |
| dc.type | text |