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25 - Open problems

Published online by Cambridge University Press:  10 February 2020

Gilles Pisier
Affiliation:
Texas A & M University
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Summary

This chapter presents Ozawa’s theorem that the minimal tensor product of B(H) with itself fails the WEP. The ingredients go through an investigation of the LLP for full crossed products of C*-algebras. Again the tools are either random matrices or deterministic examples related to property (T), but here it is crucial to work with unitary matrices associated to permutations.

Type
Chapter
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Tensor Products of C*-Algebras and Operator Spaces
The Connes–Kirchberg Problem
, pp. 434 - 437
Publisher: Cambridge University Press
Print publication year: 2020

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  • Open problems
  • 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/10.1017/9781108782081.026
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  • Open problems
  • 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/10.1017/9781108782081.026
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.

  • Open problems
  • 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/10.1017/9781108782081.026
Available formats
×