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Preprint Number 743

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743. Isaac Goldbring, Thomas Sinclair
Games and elementary equivalence of II_1 factors

Submission date: 19 June 2014.


We use Ehrenfeucht-Fraïssé games to give a local geometric criterion for elementary equivalence of II_1 factors. We obtain as a corollary that two II_1 factors are elementarily equivalent if and only their unitary groups are elementarily equivalent as Z_4-metric spaces.

Mathematics Subject Classification:

Keywords and phrases: Ehrenfeucht-Fraïssé games, II_1 factors

Full text arXiv 1406.5242: pdf, ps.

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