Adelaide Research & Scholarship
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https://hdl.handle.net/2440/3742
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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 Responsibility: | 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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