Extension of positive definite functions and Connes' embedding conjecture
Operator Algebras
2020-01-14 v2 Functional Analysis
Group Theory
Representation Theory
Abstract
In this paper we formulate a conjecture which is a strengthening of an extension theorem of Bakonyi and Timotin for positive definite functions on the free group on two generators. We prove that this conjecture implies Connes' embedding conjecture.
Cite
@article{arxiv.1912.12365,
title = {Extension of positive definite functions and Connes' embedding conjecture},
author = {Peter Burton and Kate Juschenko},
journal= {arXiv preprint arXiv:1912.12365},
year = {2020}
}