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arxiv: math/0404402 · v3 · submitted 2004-04-22 · 🧮 math.MG · math.FA

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

classification 🧮 math.MG math.FA
keywords a-t-menabilityactionsbanachcharacterizationgeometricspacesaffineanswers
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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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