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Markov dilations of semigroups of Fourier multipliers (2202.12746v3)
Published 25 Feb 2022 in math.OA
Abstract: We describe a Markov dilation for any weak* continuous semigroup $(T_t)_{t \geq 0}$ of selfadjoint unital completely positive Fourier multipliers acting on the group von Neumann algebra $\mathrm{VN}(G)$ of a locally compact group $G$.