Traces on group -algebras, sofic groups and Lück’s conjecture

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• 作者：Gü ; l Balci ^{balcigul@hotmail.com} ; Georges Skandalis ; ^{georges.skandalis@imj-prg.fr}
• 关键词：primary ; 46L10 ; secondary ; 20F65
• 刊名：Expositiones Mathematicae
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：34
• 期：4
• 页码：353-363
• 全文大小：247 K
• 卷排序：34

文摘

We give a reformulation of the proof of a Theorem of Elek and Szabó establishing Lück’s determinant conjecture for sofic groups. It is based on traces on free group C∗C∗-algebras. We briefly discuss the relation with Atiyah’s problem on the integrality of L2L2-Betti numbers.