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Bibliographic Details
Main Authors: Bonn, Laura, Sauer, Roman
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.12740
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Table of Contents:
  • We show how finiteness properties of a group and a subgroup transfer to finiteness properties of the Schlichting completion relative to this subgroup. Further, we provide a criterion when the dense embedding of a discrete group into the Schlichting completion relative to one of its subgroups induces an isomorphism in (continuous) cohomology. As an application, we show that the continuous cohomology of the Neretin group vanishes in all positive degrees.