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Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/3742
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dc.contributor.authorBlock, Jonathanen
dc.contributor.authorMathai, Vargheseen
dc.contributor.authorWeinberger, Shmuelen
dc.date.issued1997en
dc.identifier.citationProceedings of the American Mathematical Society, 1997; 125(12):3757-3762en
dc.identifier.issn0002-9939en
dc.identifier.urihttp://hdl.handle.net/2440/3742-
dc.description.abstractWe 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.en
dc.description.statementofresponsibilityJonathan Block, Varghese Mathai and Shmuel Weinberger.en
dc.language.isoenen
dc.subject$L^2$ Betti numbers, Novikov-Shubin invariants, homotopy invariance, von Neumann algebras.en
dc.titleHomotopy invariance of Novikov-Shubin invariants and L2 Betti numbersen
dc.typeJournal articleen
dc.identifier.doi10.1090/S0002-9939-97-04154-3en
Appears in Collections:Pure Mathematics publications

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