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Fibred cofinitely-coarse embeddability of box families and proper isometric affine actions on uniformly convex Banach spaces
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classification
math.FAmath.MG
keywords
banachconvexuniformlyadmitsaffinecofinitely-coarsefamiliesfibred
read the original abstract
In this paper we show that a countable, residually amenable group admits a proper isometric affine action on some uniformly convex Banach space if and only if one (or equivalently, all) of its box families admits a fibred cofinitely-coarse embedding into some uniformly convex Banach space.
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