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arXiv · 1308.2638

A computability-theoretic reformulation of the Connes Embedding Problem

Isaac Goldbring·Bradd Hart
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Abstract

The Connes Embedding Problem (CEP) asks whether every separable II_1 factor embeds into an ultrapower of the hyperfinite II_1 factor. We show that the CEP is equivalent to the computability of the universal theory of every type II_1 von Neumann algebra. We also derive some further computability-theoretic consequences of the CEP.

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Isaac Goldbring, Bradd Hart. 2013-08-12. A computability-theoretic reformulation of the Connes Embedding Problem. https://arxiv.org/abs/1308.2638

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