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arxiv: 0908.2790 · v3 · pith:7LPNXXUVnew · submitted 2009-08-19 · 🧮 math.OA · math.LO

Model theory of operator algebras I: Stability

classification 🧮 math.OA math.LO
keywords algebraalgebrasauthorauthorschoicecommutantconsidereddepend
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Several authors have considered whether the ultrapower and the relative commutant of a C*-algebra or II_1 factor depend on the choice of the ultrafilter. We settle each of these questions, extending results of Ge-Hadwin and the first author.

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