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We introduce a construction of Dirichlet forms on von Neumann algebras Massociated to any eigenvalue of the Araki modular Hamiltonian of a faithfulnormal non tracial state, providing also conditions by which the associatedMarkovian semigroups are GNS symmetric. The structure of these Dirichlet formsis described in terms of spatial derivations. Coercivity bounds are proved andthe spectral growth is derived. We introduce a regularizing property ofpositivity preserving semigroups (superboundedness) stronger thanhypercontractivity, in terms of the symmetric embedding of M into its standardspace L2(M) and the associated noncommutative Lp(M) spaces. We provesuperboundedness for a special class of positivity preserving semigroups andthat some of them are dominated by the Markovian semigroups associated to theDirichlet forms introduced above, for type I factors M. These tools are appliedto a general construction of the quantum Ornstein-Uhlembeck semigroups of theCanonical Commutation Relations CCR and some of their non-perturbativedeformations.

KMS Dirichlet forms, coercivity and super-bounded Markovian semigroups on von Neumann algebras