Model theory of operator algebras I: stability

By Ilijas Farah, Bradd Hart, David Sherman. 2009

123 citations recorded by the source corpus.

Several authors have considered whether the ultrapower and the relative commutant of a C*‐algebra or II1 factor depend on the choice of the ultrafilter. We settle each of these questions, extending results of Ge–Hadwin and the first author.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/42f3156fbad4cb65e82814104dbca637d7086991

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In Applied Mathematics

1. Gilles Pisier
2. Assaf Naor
3. Benben Liao

In Mathematical Physics

1. Gilles Pisier
2. Marius Junge
3. Assaf Naor
4. Benben Liao
5. Quanhua Xu
6. Javier Parcet
7. Tao Mei

Citations in the corpus

• Tensor Products of C*-Algebras and Operator Spaces (2020, background): “Consider for instance the very natural question whether the ultrapowers RU (for varying nontrivial ultrafilters on N) are all isomorphic: a positive answer turns out to be equivalent to the continuum hypothesis [86].”