Approximating L2 invariants of amenable covering spaces: A combinatorial approach
Jozef Dodziuk, Varghese Mathai
Abstract
In this paper, we prove that the L2 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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