Adelaide Research & Scholarship
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https://hdl.handle.net/2440/3598
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| Type: | Journal article |
| Title: | Approximating L2 invariants of amenable covering spaces: A combinatorial approach |
| Author: | Dodziuk, J. Varghese, M. |
| Citation: | Journal of Functional Analysis, 1998; 154(2):359-378 |
| Publisher: | ACADEMIC PRESS INC |
| Issue Date: | 1998 |
| ISSN: | 0022-1236 |
| Abstract: | In this paper, we prove that theL2Betti numbers of an amenable covering space can be approximated by the average Betti numbers of a regular exhaustion, proving a conjecture in [DM]. We also prove that an arbitrary amenable covering space of a finite simplicial complex is of determinant class. © 1998 Academic Press. |
| DOI: | 10.1006/jfan.1997.3205 |
| Published version: | http://dx.doi.org/10.1006/jfan.1997.3205 |
| Appears in Collections: | Aurora harvest 6 Pure Mathematics publications |
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