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Actions of \(\mathbf {SAut}\varvec{(F_n)}\)

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Abstract

We study actions of SAut\((F_n)\), the unique subgroup of index two in the automorphism group of a free group of rank n, and obtain rigidity results for its representations. In particular, we show that every smooth action of SAut\((F_n)\) on a low dimensional torus is trivial.

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Authors and Affiliations

  1. Department of Mathematics, Münster University, Einsteinstrasse 62, 48149, Münster, Germany

    Olga Varghese

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  1. Olga Varghese
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Correspondence to Olga Varghese.

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Research partially supported by SFB 878.

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Varghese, O. Actions of \(\mathbf {SAut}\varvec{(F_n)}\). Arch. Math. 110, 319–325 (2018). https://doi.org/10.1007/s00013-017-1138-9

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  • DOI: https://doi.org/10.1007/s00013-017-1138-9

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