Absolute dilations of ucp self-adjoint Fourier multipliers: the non unimodular case

Charles Duquet, Christian Le Merdy

Let $\phi$ be a normal semi-finite faithful weight on a von Neumann algebra $A$,let $({\sigma }_r^{\phi }{)}_{r\in \mathbb{R}}$ denote the modular automorphism group of $\phi$, and let $T:A\to A$…