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neretin [2018/03/30 13:23] jraimbau |
neretin [2018/03/30 15:48] jraimbau |
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| === Presentation === | === Presentation === | ||
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| + | The Neretin group of a regular tree is defined as a group of "piecewise automorphisms" on the boundary. It can be endowed with a locally compact topology, and has no lattices. It is a natural question to ask whether it has IRSs beyond the trivial ones. It is likely that a proof that IRSs "parabolic" subgroups of the Neretin groups (subgroups fixing a point on the boundary of the tree) can be classified using a modification of an argument for similar groups in the discrete case, and we hope that this might help proving that there are nontrivial IRSs in the Neretin groups. | ||
| === Lecture plan === | === Lecture plan === | ||