Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
type: Item
instance of: scholarly article
title: Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
zbMATH Open document ID: 0853.57021
DOI: 10.1007/BF01896404
published in: Geometric and Functional Analysis. GAFA
publication date: 1997-01-09T00:00:00Z
full work available at URL: https://eudml.org/doc/58171
Mathematics Subject Classification ID: 57N35
Mathematics Subject Classification ID: 57M05
zbMATH DE Number: 624604
zbMATH Keywords: CW-complex
zbMATH Keywords: fundamental group
zbMATH Keywords: \(L^ 2\)-Betti numbers
zbMATH Keywords: covering
author: Wolfgang Lück
MaRDI profile type: Publication
cites work: Q4086472
cites work: Euler characteristics and characters of discrete groups
cites work: Automorphism Groups of Residually Finite Groups
cites work: \(L_ 2\)-cohomology and group cohomology
cites work: De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings
cites work: On the Differential Form Spectrum of Negatively Curved Riemannian Manifolds
cites work: Cellular decompositions and Novikov-Shubin invariants
cites work: Determinant theory in finite factors
cites work: Volume and bounded cohomology
cites work: Kähler hyperbolicity and \(L_ 2\)-Hodge theory
cites work: Von Neumann spectra near zero
cites work: Q5289023
cites work: A Finitely Generated Infinite Simple Group
cites work: Q3736359
cites work: Heat kernels on covering spaces and topological invariants
cites work: \(L^ 2\)-Betti numbers of mapping tori and groups
cites work: Reidemeister torsion and the \(K\)-theory of von Neumann algebras
cites work: Residually finite groups
cites work: On the decidability of some problems in special classes of groups
cites work: Varieties of groups
cites work: Induced representations and projective modules
cites work: Q5676405
cites work: Betti numbers on a tower of coverings
description: scientific article; zbMATH DE number 624604