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arXiv · 1904.03862

Cohomological induction and uniform measure equivalence

Thomas Gotfredsen·David Kyed
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Abstract

We construct a general cohomological induction isomorphism from a uniform measure equivalence of locally compact, second countable, unimodular groups which, as a special case, yields that the graded cohomology rings of quasi-isometric, connected, simply connected, nilpotent Lie groups are isomorphic. This unifies results of Shalom and Sauer and also provides new insight into the quasi-isometry classification problem for low dimensional nilpotent Lie groups.

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Thomas Gotfredsen, David Kyed. 2021-02-08. Cohomological induction and uniform measure equivalence. https://arxiv.org/abs/1904.03862

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