About the Connes Embedding Conjecture---Algebraic approaches---
By Nathanial P. Brown Narutaka Ozawa. 2012
94 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/00beed2f619cd1a2d079cc01f5cc2befa2e054bd
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In Algebra and Number Theory
- Michael Brannan
- Roland Vergnioux
- Gilles Pisier
- Benoît Collins
- Roland Speicher
- Amaury Freslon
- T. Banica
- Marius Junge
In Applied Mathematics
In Mathematical Physics
- Michael Brannan
- Benoît Collins
- Roland Vergnioux
- Gilles Pisier
- Roland Speicher
- T. Banica
- Amaury Freslon
- Marius Junge
Citations in the corpus
- Tensor Products of C*-Algebras and Operator Spaces (2020, methodology): “We also had to leave out the connections of the Connes-Kirchberg problem with noncommutative real algebraic geometry, for which we refer the reader to [163, 40] and to Ozawa’s survey [191].”
- The Connes embedding property for quantum group von Neumann algebras (2014, background): “See [30] and [31] for ni ce introductions on this topic.”
- Independence properties in subalgebras of ultraproduct II$_1$ factors (2013, unknown): “ [MvN2] F. Murray, J. von Neumann: Rings of operators IV, Ann. Math. 44 (1943), 716-808. [OW] D. Ornstein, B. Weiss: Ergodic theory of amenable group actions, Bull. Amer. Math. Soc. 2(1980), 161-164. [O] N. Ozawa: About the Connes embedding conjecture: algebraic approaches, arXiv:1212.1700 [Pa] L. P”