The free group factor isomorphism problem

Claims that $L(\mathbb F_2)\cong L(\mathbb F_3)$, by an explicit iterative construction inside $L(\mathbb F_{n+1})$ of a freely generating Haar $n$-tuple, built from small trace-preserving automorphisms driven by a polynomial flow. With the classical interpolated-factor dichotomy, all $L(\mathbb F_r)$, $1<r\le\infty$, are isomorphic and their fundamental group is $\mathbb R_{>0}$. It also shows free entropy dimension depends on the generating tuple. It does not identify $L(\mathbb F_2)$ with other non-free group factors.

Claims that $L(\mathbb F_2)\cong L(\mathbb F_3)$, by an explicit iterative construction inside $L(\mathbb F_{n+1})$ of a freely generating Haar $n$-tuple, built from small trace-preserving automorphisms driven by a polynomial flow. With the classical interpolated-factor dichotomy, all $L(\mathbb F_r)$, $1<r\le\infty$, are isomorphic and their fundamental group is $\mathbb R_{>0}$. It also shows free entropy dimension depends on the generating tuple. It does not identify $L(\mathbb F_2)$ with other non-free group factors.