Title of article
ApproximatingL2Invariants of Amenable Covering Spaces: A Combinatorial Approach
Author/Authors
Dodziuk، نويسنده , , Jozef and Mathai، نويسنده , , Varghese، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1998
Pages
20
From page
359
To page
378
Abstract
In this paper, we prove that theL2Betti 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.
Keywords
L2Betti numbers , Approximation theorems , Von Neumann algebras , amenable groups , Determinant
Journal title
Journal of Functional Analysis
Serial Year
1998
Journal title
Journal of Functional Analysis
Record number
1548642
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