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L2 Riemannian-Roch Theorem for Elliptic Operators.

M.A. Shubin (1995)

Geometric and functional analysis

L²-homology and reciprocity for right-angled Coxeter groups

Boris Okun, Richard Scott (2011)

Fundamenta Mathematicae

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 $_{μ}$ containing ℝW. Using these algebras and the corresponding von Neumann dimensions we define $L ²_{μ}$ -Betti numbers and an $L ²_{μ}$ -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...

Displaying 1 – 5 of 5

L2 Riemannian-Roch Theorem for Elliptic Operators.

L²-homology and reciprocity for right-angled Coxeter groups

Les algèbres hilbertiennes modulaires de Tomita

Les facteurs de von Neumann de type III

Long-Time Asymptotic Properties of Dynamical Semigroups on W*-algebras.

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