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18 - The WEP does not imply the LLP

Published online by Cambridge University Press:  10 February 2020

Gilles Pisier
Affiliation:
Texas A & M University
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Summary

Here we describe an example of group that is shown using Kazhdan’s property (T) to be such that its full C* algebrafails LLP, although the group is approximately linear (i.e. so-called hyperlinear). Since both amenable and free groups satisfy the latter LLP, it is not easy to produceexamples failing the LLP, and so far this is the only one.

Type
Chapter
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Tensor Products of C*-Algebras and Operator Spaces
The Connes–Kirchberg Problem
, pp. 317 - 332
Publisher: Cambridge University Press
Print publication year: 2020

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  • The WEP does not imply the LLP
  • Gilles Pisier, Texas A & M University
  • Book: Tensor Products of <I>C</I>*-Algebras and Operator Spaces
  • Online publication: 10 February 2020
  • Chapter DOI: https://doi.org/10.1017/9781108782081.019
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  • The WEP does not imply the LLP
  • Gilles Pisier, Texas A & M University
  • Book: Tensor Products of <I>C</I>*-Algebras and Operator Spaces
  • Online publication: 10 February 2020
  • Chapter DOI: https://doi.org/10.1017/9781108782081.019
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • The WEP does not imply the LLP
  • Gilles Pisier, Texas A & M University
  • Book: Tensor Products of <I>C</I>*-Algebras and Operator Spaces
  • Online publication: 10 February 2020
  • Chapter DOI: https://doi.org/10.1017/9781108782081.019
Available formats
×