Algebraic reformulation of Connes embedding problem and the free group algebra

Abstract

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.

This is an old paper, which is already appeared in Israel J Math, 2011

References in corpus (2)

• Connes' embedding conjecture and sums of hermitian squares
• Combinatorial aspects of Connes's embedding conjecture and asymptotic distribution of traces of products of unitaries