Matrices of unitary moments
By K. Dykema, Kate Juschenko. 2009
46 citations recorded by the source corpus.
We investigate certain matrices composed of mixed, second-order moments of unitaries. The unitaries are taken from $C^*$-algebras with moments taken with respect to traces, or, alternatively, from matrix algebras with the usual trace. These sets are of interest in light of a theorem of E. Kirchberg about Connes' embedding problem.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9070d37d1a6de5a90c4ec40159a3a2cf6804dce2
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In Applied Mathematics
- Gilles Pisier
- Uffe Haagerup
- Nathanial P. Brown Narutaka Ozawa
- Magdalena Musat
- Assaf Naor
- Benben Liao
- Andreas Thom
In Mathematical Physics
- Gilles Pisier
- Nathanial P. Brown Narutaka Ozawa
- Uffe Haagerup
- Magdalena Musat
- Marius Junge
- Tao Mei
- Quanhua Xu
- W. Winter
Citations in the corpus
- An Asymptotic Property of Factorizable Completely Positive Maps and the Connes Embedding Problem (2014, methodology): “Recall that Fn is defined in [5] as the closure of the union over k ≥ 1 of sets of n × n complex matrices (bij)1≤i,j≤n such that bij = τk(uiuj ) , where u1, .”
- About the Connes Embedding Conjecture---Algebraic approaches--- (2012, background): “onsequence of the ultraproduct construction. For the equivalence to (3), see Theorem 27. Note that the assumption k = C in condition (3) is essential because the real analogue of it is actually true ([DJ]). Since any finite von Neumann algebra Mwith separable predual is embeddable into a II1-factor w”
- Tensor Products of C*-Algebras and Operator Spaces (2020, background): “See Dykema and Juschenko’s [75] for more results on unitary correlation matrices.”