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Type: Journal article
Title: Homotopy invariance of Novikov-Shubin invariants and L2 Betti numbers
Author: Block, Jonathan
Mathai, Varghese
Weinberger, Shmuel
Citation: Proceedings of the American Mathematical Society, 1997; 125(12):3757-3762
Issue Date: 1997
ISSN: 0002-9939
Statement of
Jonathan Block, Varghese Mathai and Shmuel Weinberger.
Abstract: We give short proofs of the Gromov-Shubin theorem on the homotopy invariance of the Novikov-Shubin invariants and of the Dodziuk theorem on the homotopy invariance of the $L^2$ Betti numbers of the universal covering of a closed manifold in this paper. We show that the homotopy invariance of these invariants is no more difficult to prove than the homotopy invariance of ordinary homology theory.
Keywords: $L^2$ Betti numbers, Novikov-Shubin invariants, homotopy invariance, von Neumann algebras.
DOI: 10.1090/S0002-9939-97-04154-3
Appears in Collections:Pure Mathematics publications

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