English

About the Connes Embedding Conjecture---Algebraic approaches---

Operator Algebras 2013-02-19 v3

Abstract

This is an expanded lecture note for "Masterclass on sofic groups and applications to operator algebras" (University of Copenhagen, 5-9 November 2012). It is about algebraic aspects of the Connes Embedding Conjecture. It contains new proofs of equivalence of the Connes Embedding Conjecture, Positivstellensatze for trace positive polynomials, Kirchberg's Conjecture, and Tsirelson's Problem.

Keywords

Cite

@article{arxiv.1212.1700,
  title  = {About the Connes Embedding Conjecture---Algebraic approaches---},
  author = {Narutaka Ozawa},
  journal= {arXiv preprint arXiv:1212.1700},
  year   = {2013}
}

Comments

32 pages; The title is changed and the contents is expanded for publication (v2); Minor changes (v3)

R2 v1 2026-06-21T22:50:33.488Z