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Jia-Qi Wang

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Preprint Oct 2026

An Explicit Polynomial Counterexample to Connes'Embedding Conjecture

We construct an explicit Hermitian polynomial $ f $ with integer coefficients, of degree $ 12 $ in $ 65 $ selfadjoint variables, whose normalized trace is at least $3/4$ on every tuple of selfadjoint matrix contractions, in every dimension, and equals $-1$ at a specified tuple of selfadjoint unitaries in a group von Ne...

Jia-Qi Wang, Li-Hong Zhi · 0 citations
Preprint Sep 2026

A uniform commutator bound in finite von Neumann algebras

Let $\mathcal{M}$ be a finite von Neumann algebra with normalized center-valued trace $T_{\mathcal{M}}$. We prove that every $A\in\mathcal{M}$ with $T_{\mathcal{M}}(A)=0$ admits a representation $A=BC-CB$, where $B,C\in\mathcal{M}$ satisfy $\|B\|\|C\|\le K\|A\|$ for an absolute constant $K$ independent of $\mathcal{M}$...

Jia-Qi Wang · 0 citations

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