Complete boundedness of the Heat Semigroups on the von Neumann Algebra of hyperbolic groups

Tao Mei, Mikael de la Salle

We prove that $({\lambda }_g\mapsto e^{-t|g{|}^r}{\lambda }_g{)}_{t>0}$ defines a completely bounded semigroup of multipliers on the von Neuman algebra of hyperbolic groups for all real number $r$. One…