L2-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence
arXiv:0903.2925
Abstract
We show an invariance result for the L2-torsion of groups under uniform measure equivalence provided a measure-theoretic version of the determinant conjecture holds. The measure-theoretic determinant conjecture is discussed and, for instance, proved for Bernoulli actions of residually amenable groups.
23 pages; correction in Defintion 1.5 (groupoid ring) added;