Homotopy invariance of Novikov-Shubin invariants and $L^2$ Betti numbers

DOI10.1090/S0002-9939-97-04154-3zbMath0885.58087OpenAlexW1537835297MaRDI QIDQ4372438

Varghese Mathai, Shmuel Weinberger, Jonathan L. Block

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04154-3

zbMATH Keywords

von Neumann algebrashomotopy invarianceNovikov-Shubin invariants\(L^ 2\) Betti numbers

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items

Von Neumann spectra near the spectral gap

Cites Work

• Von Neumann spectra near zero
• De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings
• VON NEUMANN DIMENSION AND THE HOMOLOGY OF COVERING SPACES
• Simplicial Spaces, Nuclei and m -Groups
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