The Universal Theory Of The Hyperfinite II1 Factor Is Not Computable
Abstract
We show that the universal theory of the hyperfinite II1 factor is not computable. The proof uses the recent result that MIP*=RE. Combined with an earlier observation of the authors, this yields a proof that the Connes Embedding Problem has a negative solution that avoids the equivalences with Kirchberg's QWEP Conjecture and Tsirelson's Problem.+
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