This is an announcement for the paper "Group actions on Banach spaces and a geometric characterization of a-T-menability" by Piotr W. Nowak.

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

Archive classification: Metric Geometry; Functional Analysis

Remarks: 4 pages

The source file(s), a-T-menable-2.tex: 13180 bytes, is(are) stored in gzipped form as 0404402.gz with size 5kb. The corresponding postcript file has gzipped size 33kb.

Submitted from: pnowak@math.tulane.edu

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http://front.math.ucdavis.edu/math.MG/0404402

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http://arXiv.org/abs/math.MG/0404402

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