A Class of Freely Complemented von Neumann Subalgebras of $L{\mathbb{F}}_n$

Nicholas Boschert, Ethan Davis, Patrick Hiatt

We prove that if $A_1,A_2,\dots ,A_n$ are tracial abelian von Neumann algebras for $2\le n\le \infty$ and $M=A_1\ast \cdots \ast A_n$ is their free product, then any subalgebra $…