English

Operator-Valued Kirchberg Theory

Operator Algebras 2014-10-21 v1

Abstract

In this paper, we will follow Kirchberg's categorical perspective to establish new notions of WEP and QWEP relative to a C^*-algebra, and develop similar properties as in the classical WEP and QWEP. Also we will show some examples of relative WEP and QWEP to illustrate the relations with the classical cases. Finally we will apply our notions to recent results on C^*-norms.

Keywords

Cite

@article{arxiv.1410.5379,
  title  = {Operator-Valued Kirchberg Theory},
  author = {Jian Liang and Sepideh Rezvani},
  journal= {arXiv preprint arXiv:1410.5379},
  year   = {2014}
}

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29 PAGES

R2 v1 2026-06-22T06:29:57.233Z