%0 Journal Article %T Algebraic reformulation of Connes embedding problem and the free group algebra %A Kate Juschenko %A Stanislav Popovych %J Mathematics %D 2013 %I arXiv %X We give a modification of I. Klep and M. Schweighofer algebraic reformulation of Connes' embedding problem by considering *-algebra of the countably generated free group. This allows to consider only quadratic polynomials in unitary generators instead of arbitrary polynomials in self-adjoint generators. %U http://arxiv.org/abs/1306.2163v1