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

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

1996-09-16

arxiv.org/abs/dg-ga/9609003v3

Mathematics

Differential Geometry

14 pages, AMS-LaTeX, a minor revision of an earlier version containing new references to earlier work in the field

Scientific paper

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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