Entropy of automorphisms of II_1-factors arising from the dynamical systems theory
| dc.creator | Golodets, Valentin | |
| dc.creator | Neshveyev, Sergey | |
| dc.date | 2000-02-10 | |
| dc.date.accessioned | 2026-07-25T22:39:28Z | |
| dc.description | Let a countable amenable group G acts freely and ergodically on a Lebesgue space (X,mu), preserving the measure mu. If T is an automorphism of the equivalence relation defined by G then T can be extended to an automorphism alpha_T of the II_1-factor M=L^\infty(X,μ)\rtimes G. We prove that if T commutes with the action of G then H(alpha_T)=h(T), where H(alpha_T) is the Connes- Stormer entropy of alpha_T, and h(T) is the Kolmogorov-Sinai entropy of T. We prove also that for given s and t, 0\le s\le t\le\infty, there exists a T such that h(T)=s and H(alpha_T)=t. | |
| dc.description | LaTeX2e, 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0002082 | |
| dc.identifier | http://arxiv.org/abs/math/0002082 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/91227 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 (Primary) 28D20 (Secondary) | |
| dc.title | Entropy of automorphisms of II_1-factors arising from the dynamical systems theory | |
| dc.type | text |