Higher property T and below-rank phenomena of lattices
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917326929002496 |
|---|---|
| author | Bader, Uri Sauer, Roman |
| author_facet | Bader, Uri Sauer, Roman |
| contents | The purpose of this paper is twofold. We explore higher property T as an abstract group-theoretic property. In particular, we provide new operator-algebraic characterizations of higher property T. Then we turn to lattices in semisimple Lie groups. We relate higher property T to other cohomological, rigidity and geometric phenomena below the real rank. The second part outlines a conjectural framework that unifies these aspects and reviews recent advances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20192 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher property T and below-rank phenomena of lattices Bader, Uri Sauer, Roman Group Theory Geometric Topology Operator Algebras The purpose of this paper is twofold. We explore higher property T as an abstract group-theoretic property. In particular, we provide new operator-algebraic characterizations of higher property T. Then we turn to lattices in semisimple Lie groups. We relate higher property T to other cohomological, rigidity and geometric phenomena below the real rank. The second part outlines a conjectural framework that unifies these aspects and reviews recent advances. |
| title | Higher property T and below-rank phenomena of lattices |
| topic | Group Theory Geometric Topology Operator Algebras |
| url | https://arxiv.org/abs/2511.20192 |