Free products and rescalings involving non-separable abelian von Neumann algebras

Ken Dykema, Junchen Zhao

For a self-symmetric tracial von Neumann algebra $A$, we study rescalings of $A^{\ast n}\ast L{\mathbb{F}}_r$ for $n\in \mathbb{N}$ and $r\in (1,\infty ]$ and use them to obtain an inter…