Sequential commutation in tracial von Neumann algebras

Srivatsav Kunnawalkam Elayavalli, Gregory Patchell

Recall that a unitary in a tracial von Neumann algebra is Haar if $\tau (u^n)=0$ for all $n\in \mathbb{N}$. We introduce and study a new Borel equivalence relation ${\sim }_N$ on the set…