2 problems

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Measure-theoretic determinant conjecture
Let ${\mathcal R}$ be a standard equivalence relation on a standard probability space. Its groupoid ring is ${\mathbb Z}{\mathcal R}$ , and ${\mathcal N}({\mathcal R})$ is the assoc…
Conjectureopendeterminant-conjecture measured-equivalence-relations von-neumann-algebrasarXiv posted 2 days ago
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Uniform measure equivalence invariance conjecture for $L^2$ -torsion
Let $G$ and $H$ be countable groups such that all the $L^2$ -Betti numbers of $G$ and $H$ vanish. Assume that both $G$ and $H$ admit finite CW-models for their classifying spaces. T…
Conjectureopendeterminant-conjecture l2-torsion measure-equivalencearXiv posted 2 days ago

Measure-theoretic determinant conjecture