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Traces on group C∗-algebras, sofic groups and Lück's conjecture

Article ID Journal Published Year Pages File Type
5771482 Expositiones Mathematicae 2016 11 Pages PDF
Abstract
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∗-algebras. We briefly discuss the relation with Atiyah's problem on the integrality of L2-Betti numbers.
Keywords
46L1020F65Sofic groupsprimarysecondary
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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Traces on group C∗-algebras, sofic groups and Lück's conjecture
Authors
Gül Balci, Georges Skandalis,
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Journal: Expositiones Mathematicae
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