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Non-unitarisable Representations and Random Forests
| Content Provider | Semantic Scholar |
|---|---|
| Author | Epstein, I. L. Monod, Nicolas |
| Copyright Year | 2009 |
| Abstract | We establish a connection between Dixmier’s unitarisability problem and the expected degree of random forests on a group. As a consequence, a residually finite group is non-unitarisable if its first L-Betti number is non-zero or if it is finitely generated with non-trivial cost. Our criterion also applies to torsion groups constructed by D. Osin, thus providing the first examples of non-unitarisable groups without free subgroups. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0811.3422v2.pdf |
| Alternate Webpage(s) | http://egg.epfl.ch/~nmonod/articles/forests.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Betti number Betti's theorem Forests Random forest Torsion (gastropod) |
| Content Type | Text |
| Resource Type | Article |
