Traces on group C*-algebras, sofic groups and L\"uck's conjecture
Operator Algebras
2015-01-26 v1 Group Theory
Abstract
We give an alternate proof of a Theorem of Elek and Szabo establishing L\"uck's determinant conjecture for sofic groups. Our proof is based on traces on group C*-algebras. We briefly discuss the relation with Atiyah's problem on the integrality of -Betti numbers.
Keywords
Cite
@article{arxiv.1501.05753,
title = {Traces on group C*-algebras, sofic groups and L\"uck's conjecture},
author = {Gül Balci and Georeges Skandalis},
journal= {arXiv preprint arXiv:1501.05753},
year = {2015}
}