|
|||||
|
|
Isomorphism rigidity of commuting automorphisms |
|
| Authors: | Siddhartha Bhattacharya |
| Affiliation: | School of Mathematics, Tata Institute of Fundamental Research, Mumbai 400005, India |
| Abstract: | Let  , and let  and  be two zero-entropy  -actions on compact abelian groups by  commuting automorphisms. We show that if all lower rank subactions of  and  have completely positive entropy, then any measurable equivariant map from  to  is an affine map. In particular, two such actions are measurably conjugate if and only if they are algebraically conjugate. |
| Keywords: | Rigidity commuting automorphisms entropy |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载全文 | |