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COMPUTABILITY AND THE CONNES EMBEDDING PROBLEM

Published online by Cambridge University Press:  05 July 2016

ISAAC GOLDBRING
Affiliation:
DEPARTMENT OF MATHEMATICS, STATISTICS, AND COMPUTER SCIENCE UNIVERSITY OF ILLINOIS AT CHICAGO SCIENCE AND ENGINEERING OFFICES M/C 249 851 S. MORGAN ST., CHICAGO, IL, 60607-7045, USAE-mail: isaac@math.uic.eduURL: http://www.math.uic.edu/∼isaac
BRADD HART
Affiliation:
DEPARTMENT OF MATHEMATICS AND STATISTICS, MCMASTER UNIVERSITY1280MAIN STREET W., HAMILTON, ONTARIO L8S 4K1, CANADAE-mail: hartb@mcmaster.caURL: http://www.math.mcmaster.ca/∼bradd

Abstract

The Connes Embedding Problem (CEP) asks whether every separable II1 factor embeds into an ultrapower of the hyperfinite II1 factor. We show that the CEP is equivalent to the statement that every type II1 tracial von Neumann algebra has a computable universal theory.

Type
Articles
Copyright
Copyright © The Association for Symbolic Logic 2016 

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