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arXiv · 2205.15457

Orbit equivalence superrigidity for type III$_0$ actions

Stefaan Vaes·Bram Verjans
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Abstract

We prove the first orbit equivalence superrigidity results for actions of type III$_\lambda$ when $\lambda \neq 1$. 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.

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Stefaan Vaes, Bram Verjans. 2022-05-30. Orbit equivalence superrigidity for type III$_0$ actions. https://doi.org/10.1017/etds.2022.112

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