Twisting Non-Commutative L^p Spaces with Triples and Derivations of Semifinite von Neumann Algebras

Abstract

We introduces commutator estimates for interpolation scales with holomorphic structure and give a new and contractive spectral triples over the space of connections and study for crossed products. We show the noncommutative solenoids and their projective modules and deal with Gromov-Hausdorff propinquity and find the spectral triples for noncommutative solenoidal spaces from self-coverings.A description of certain homological properties with twisting of Schatten classes and non-commutative L^p-spaces are obtained. The derivations of τ-measurable operators and on symmetric quasi-Banach ideals of compact operators with continuous derivations in algebras of locally measurable operators are inner are studied. The structure of derivations and on various algebras of measurable operators for type I and with values in ideals of semifinite von Neumann algebras are constructed.