The dichotomy property of ${\rm SL}_2(R)$-A short note
| Autor: | Trost, Alexander Alois |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | A recent paper by Polterovich, Shalom and Shem-Tov has shown that non-discrete, conjugation invariant norms on arithmetic Chevalley groups of higher rank give rise to very restricted topologies. Namely, such topologies always have profinite norm-completions. In this note, we sketch an argument showing that this also holds for ${\rm SL}_2(R)$ for $R$ a ring of algebraic integers with infinitely many units. |
| Databáze: | arXiv |
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