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Group actions on Banach spaces and a geometric characterization of a-T-menability

Piotr W. Nowak
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Abstract

We prove a geometric characterization of a-T-menability through proper, affine, isometric actions on the Banach spaces $L_p[0,1]$ for $1<p<2$. This answers a question of A. Valette.

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Piotr W. Nowak. 2009-01-14. Group actions on Banach spaces and a geometric characterization of a-T-menability. https://arxiv.org/abs/math/0404402

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