Amenability versus non-exactness of dense subgroups of a compact group
Event details
| Date | 09.05.2018 |
| Hour | 15:00 › 16:00 |
| Speaker | Masato Mimura (EPFL and Tohoku University) |
| Location | |
| Category | Conferences - Seminars |
We provide an example of a compact group K, a 5-generated dense subgroup Lambda_1 in K and an element u in K such that
- Lambda_1 is amenable, but
- the group Lambda_2, generated by Lambda_1 and u, is non-exact, in other words, it fails to have property A of Guoliang Yu.
Our construction is built upon a construction of non-exact groups that are LEF by Osajda and Arzhantseva—Osajda.
Practical information
- Informed public
- Free