ISSN:
1420-8946
Keywords:
Key words. Amenable groups, covering spaces, l2-homology, Betti numbers.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. It is shown that the $\ell_2$ -Betti numbers of an amenable covering of a finite cell-complex can be approximated by ordinary Betti numbers of the finite Fœlner subcomplexes. This is a new proof, using simple homological arguments, of a recent result of Dodziuk and Mathai.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s000140050081
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