Approximating L2 invariants of amenable covering spaces:: A combinatorial approach

被引：25

作者：

Dodziuk, J ^{[1
]}

Mathai, V

机构：

[1] CUNY, Dept Math, New York, NY 10021 USA

[2] Univ Adelaide, Dept Math, Adelaide, SA 5005, Australia

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1998年 / 154卷 / 02期

关键词：

L-2 Betti numbers; approximation theorems; amenable groups; von Neumann algebras; determinant;

D O I：

10.1006/jfan.1997.3205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 in [DM]. We also prove that an arbitrary amenable covering space of a finite simplicial complex is of determinant class. (C) 1998 Academic Press.

引用

页码：359 / 378

页数：20

共 20 条

[1] A NOTE ON THE FOLNER CONDITION FOR AMENABILITY [J].