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Approximating L^2 invariants of amenable covering spaces: A combinatorial approach

Jozef Dodziuk·Varghese Mathai
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Abstract

In this paper, we prove that the $L^2$ Betti numbers of an amenable covering space can be approximated by the average Betti numbers of a regular exhaustion, proving a conjecture that we made in an earlier paper. We also prove that an arbitrary amenable covering space of a finite simplicial complex is of determinant class.

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BibTeXRIS

Jozef Dodziuk, Varghese Mathai. 1997-01-09. Approximating L^2 invariants of amenable covering spaces: A combinatorial approach. https://arxiv.org/abs/dg-ga/9609003

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