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arXiv · 1705.02644

Fixed-point property for affine actions on a Hilbert space

Shin Nayatani
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Abstract

Gromov showed that for fixed, arbitrarily large C, any uniformly C-Lipschitz affine action of a random group in his graph model on a Hilbert space has a fixed point. We announce a theorem stating that more general affine actions of the same random group on a Hilbert space have a fixed point. We discuss some aspects of the proof.

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Shin Nayatani. 2017-05-07. Fixed-point property for affine actions on a Hilbert space. https://arxiv.org/abs/1705.02644

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