Cohomological induction and uniform measure equivalence

Bidragets oversatte titel: Cohomological induction and uniform measure equivalence

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Abstrakt

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.
Bidragets oversatte titelCohomological induction and uniform measure equivalence
OriginalsprogEngelsk
TidsskriftFundamenta Mathematicae
Vol/bind255
Udgave nummer1
Sider (fra-til)19-49
ISSN0016-2736
DOI
StatusUdgivet - 2021

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