Sofic groups and direct finiteness

被引：62

作者：

Elek, G ^{[1
]}

Szabó, E ^{[1
]}

机构：

[1] Hungarian Acad Sci, Inst Math, H-1364 Budapest, Hungary

来源：

JOURNAL OF ALGEBRA | 2004年 / 280卷 / 02期

基金：

匈牙利科学研究基金会;

关键词：

sofic groups; direct finiteness; continuous von Neumann regular rings; group algebras;

D O I：

10.1016/j.jalgebra.2004.06.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an analogue of von Neumann's affiliated algebras for sofic group algebras over arbitrary fields. Consequently, we settle Kaplansky's direct finiteness conjecture for sofic groups. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：426 / 434

页数：9

共 9 条

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Ara, P ;

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[3]

Beck A, 1973, LECT NOTES MATH, V318, P120

[4]

ELEK G, 2003, SOFIC GROUPS

[5]

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[6]

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[7]

Kaplansky I, 1969, CHICAGO LECT MATH

[8]

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[9]

[No title captured]

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