Orbit equivalence superrigidity for type III actions

Author:

VAES STEFAANORCID,VERJANS BRAM

Abstract

Abstract We prove the first orbit equivalence superrigidity results for actions of type III $_\unicode{x3bb} $ when $\unicode{x3bb} \neq 1$ . These actions arise as skew products of actions of dense subgroups of $\operatorname {SL}(n,\mathbb {R})$ on the sphere $S^{n-1}$ and they can have any prescribed associated flow.

Funder

Vlaamse Overheid

Fonds Wetenschappelijk Onderzoek

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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5. [DV21] Drimbe, D. and Vaes, S. . Superrigidity for dense subgroups of Lie groups and their actions on homogeneous spaces. Math. Ann., to appear.

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