An Explicit Polynomial Counterexample to Connes' Embedding Conjecture

Jiaqi Wang, Lihong Zhi

We construct an explicit Hermitian polynomial in six selfadjoint variables, $f=-1+\omega +{\omega }^{\ast }+M{\sum }_{j=1}^{15}(2-u_j-u_j^{\ast })$, with integer coefficients, degree $72$, and exactly $33$ mon…