VON NEUMANN DIMENSION AND THE HOMOLOGY OF COVERING SPACES

DOI10.1093/qmath/30.2.133zbMath0421.46056OpenAlexW1965334001MaRDI QIDQ3854190

Joel M. Cohen

Publication date: 1979

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/30.2.133

zbMATH Keywords

von Neumann dimensionboundarychain complexgroup of dimensionshomology of covering spacesnormal simplicial covering spacereal valued Betti numberssimplicial or cellular complex

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Homological dimension (category-theoretic aspects) (18G20)

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Nilpotent action by an amenable group and Euler characteristic ⋮ An invariant for finitely presented \(\mathbb{C} G\)-modules ⋮ \(L^ 2\) Riemann-Roch theorem for elliptic operators ⋮ The two-sided Pompeiu problem for discrete groups ⋮ Semiclassical asymptotics on covering manifolds and Morse inequalities ⋮ Discrete Morse theory and extended \(L^2\) homology ⋮ Analytic and Reidemeister torsion for representations in finite type Hilbert modules ⋮ The Pompeiu problem and discrete groups ⋮ \(C^*\)-algebras without idempotents ⋮ 𝐿²-homology over traced *-algebras ⋮ Homotopy invariance of Novikov-Shubin invariants and $L^2$ Betti numbers ⋮ Von Neumann spectra near zero ⋮ Non-negative scalar curvature ⋮ \(L^ 2\)-torsion invariants ⋮ La caratteristica di Eulero a valori reali ⋮ Morse functions on cobordisms ⋮ Amenable groups, topological entropy and Betti numbers

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