L2-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence

Wolfgang Lueck; Roman Sauer; Christian Wegner

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arXiv · 0903.2925

L2-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence

Wolfgang Lueck·Roman Sauer·Christian Wegner

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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.

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Wolfgang Lueck, Roman Sauer, Christian Wegner. 2010-04-19. L2-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence. https://arxiv.org/abs/0903.2925

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