Markov dilations of semigroups of Fourier multipliers

Abstract

We describe a Markov dilation for any weak* continuous semigroup $(T_t{)}_{t\ge 0}$ of selfadjoint unital completely positive Fourier multipliers acting on the group von Neumann algebra $\mathrm{VN}(G)$ of a locally compact group $G$.

arXiv comment12 pages