Approximating L2 invariants of amenable covering spaces: A combinatorial approach
Date
1998
Authors
Dodziuk, J.
Varghese, M.
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Journal article
Citation
Journal of Functional Analysis, 1998; 154(2):359-378
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Abstract
In this paper, we prove that theL<sup>2</sup>Betti 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.