On the quasi-isometry invariance of \(L^ 2\)-Betti numbers

DOI10.1215/S0012-7094-89-05936-XzbMath0705.58045MaRDI QIDQ918017

John Roe

Publication date: 1989

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

invariants\(L^ 2\)-Betti numbersindex theory on open manifolds

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Differential complexes (58J10)

Related Items (3)

A SEMICONTINUOUS TRACE FOR ALMOST LOCAL OPERATORS ON AN OPEN MANIFOLD ⋮ A \(C^*\)-algebra of geometric operators on self-similar CW-complexes. Novikov-Shubin and \(L^2\)-Betti numbers ⋮ Noncommutative Riemann integration and Novikov-Shubin invariants for open manifolds

Cites Work

• An index theorem on open manifolds. I. II
• Supersymmetry and Morse theory
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