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

Abstract

We give an alternate proof of a Theorem of Elek and Szabo establishing Lück'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 $L^2$-Betti numbers.

Cited by in corpus (1)

• The Rank Theorem and $L^2$-invariants in Free Entropy: Global Upper Bounds