L2 Riemannian-Roch Theorem for Elliptic Operators.
L²-homology and reciprocity for right-angled Coxeter groups
Let W be a Coxeter group and let μ be an inner product on the group algebra ℝW. We say that μ is admissible if it satisfies the axioms for a Hilbert algebra structure. Any such inner product gives rise to a von Neumann algebra containing ℝW. Using these algebras and the corresponding von Neumann dimensions we define -Betti numbers and an -Euler charactersitic for W. We show that if the Davis complex for W is a generalized homology manifold, then these Betti numbers satisfy a version of Poincaré...
Les algèbres hilbertiennes modulaires de Tomita
Les facteurs de von Neumann de type III
Long-Time Asymptotic Properties of Dynamical Semigroups on W*-algebras.