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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...

A homology theory of Banach manifolds of a special form, called FSQL-manifolds, is developed, and also a homological degree of FSQL-mappings between FSQL-manifolds is introduced.

Linear Diophantic Equations and Local Cohomology.

Richard P. Stanley (1982)

Inventiones mathematicae

Linking pairings on singular spaces.

Mark Goresky, Paul Siegel (1983)

Commentarii mathematici Helvetici

Local Cohomolgy Along Exceptional Sets.

Ulrich Karras (1986)

Mathematische Annalen

Local Formulae for Stiefel-Whitney classes.

D.A. McLaughlin (1996)

Manuscripta mathematica

Localization of Topological Pontryagin Classes via Finite Propagation Speed.

H. Moscovici, F.-B. Wu (1994)

Geometric and functional analysis

Localizations of unstable A-modules and equivariant mod p cohomology.

H.-W. Henn, J. Lannes, L. Schwartz (1995)

Mathematische Annalen

Localizing the Burnside Ring.

Czes Kosniowski (1973)

Mathematische Annalen

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$L_{2}$ -cohomology and intersection homology of locally symmetric varieties, II

$L^{2}$ -cohomology of locally symmetric varieties

L1-cohomology of normal algebraic surfaces. I.

L2-Cohomologie des espaces stratifiés.

L2-cohomology and intersection homology of certain algebraic varieties with isolated singularities.

L²-homology and reciprocity for right-angled Coxeter groups

La cohomologie basique d'un feuilletage Riemannien est de dimension finie.

La K-théorie stable

Lagrangian Intersections in Contact Geometry.

Lefschetz fixed point theorem for intersection homology.

Lefschetz-Riemann-Roch theorem and coherent trace formula.

Levels in algebra and topology.

L-homology theory of FSQL-manifolds and the degree of FSQL-mappings

Linear Diophantic Equations and Local Cohomology.

Linking pairings on singular spaces.

Local Cohomolgy Along Exceptional Sets.

Local Formulae for Stiefel-Whitney classes.

Localization of Topological Pontryagin Classes via Finite Propagation Speed.

Localizations of unstable A-modules and equivariant mod p cohomology.

Localizing the Burnside Ring.

Currently displaying 1 – 20 of 24