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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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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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Authors and Affiliations

  1. College of Mathematics and Statistics, Chongqing University (at Huxi Campus), Chongqing, 401331, P. R. China

    Guoqiang Li & Xianjin Wang

Authors
  1. Guoqiang Li
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  2. Xianjin Wang
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Corresponding author

Correspondence to Guoqiang Li.

Additional information

The authors are supported by NSFC (Nos. 11231002, 11771061).

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Li, G., Wang, X. Fibred cofinitely-coarse embeddability of box families and proper isometric affine actions on uniformly convex Banach spaces. Isr. J. Math. 227, 793–809 (2018). https://doi.org/10.1007/s11856-018-1740-y

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  • DOI: https://doi.org/10.1007/s11856-018-1740-y

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