On homological properties of the Schlichting completion
Abstract:
We show how finiteness properties of a group and a subgroup transfer to finiteness proper-
ties of the Schlichting completion relative to this subgroup.n 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 applica-
tion, we show that the continuous cohomology of the Neretin group vanishes in all positive
degrees.
ties of the Schlichting completion relative to this subgroup.n 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 applica-
tion, we show that the continuous cohomology of the Neretin group vanishes in all positive
degrees.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsdatum | 18.09.2025 |
| Sprache | Englisch |
| Identifikator | ISSN: 0305-0041, 1469-8064 KITopen-ID: 1000185257 |
| Erschienen in | Mathematical Proceedings of the Cambridge Philosophical Society |
| Verlag | Cambridge University Press (CUP) |
| Seiten | 1–12 |
| Vorab online veröffentlicht am | 04.09.2025 |
| Nachgewiesen in | Scopus Web of Science OpenAlex Dimensions |