论文标题
III类型的轨道等效性超级$ _0 $动作
Orbit equivalence superrigidity for type III$_0$ actions
论文作者
论文摘要
当$λ\ neq 1 $时,我们证明了III $_λ$的动作的第一个轨道等效性超级汇率结果。这些动作是作为$ sl(n,\ mathbb {r})$ s $ s^{n-1} $的$ sl(n,mathbb {r})的密集子组的偏向产物而产生的,并且它们可以具有任何相关的相关流。
We prove the first orbit equivalence superrigidity results for actions of type III$_λ$ when $λ\neq 1$. These actions arise as skew products of actions of dense subgroups of $SL(n,\mathbb{R})$ on the sphere $S^{n-1}$ and they can have any prescribed associated flow.