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research_talks [2018/05/11 09:39] jraimbau |
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| The purpose of this talk would be to explain the construction of non-discrete locally compact groups with no non-trivial uniformly recurrent subgroups and no non-trivial invariant random subgroups. These groups are defined as groups of piecewise affine homeomorphisms of a locally compact Cantor space. Some examples can also be viewed as subgroups of the group AAut(T) of almost automorphisms of a regular tree, but unlike AAut(T), they are not compactly generated. Joint work with Nicolas Matte Bon. | The purpose of this talk would be to explain the construction of non-discrete locally compact groups with no non-trivial uniformly recurrent subgroups and no non-trivial invariant random subgroups. These groups are defined as groups of piecewise affine homeomorphisms of a locally compact Cantor space. Some examples can also be viewed as subgroups of the group AAut(T) of almost automorphisms of a regular tree, but unlike AAut(T), they are not compactly generated. Joint work with Nicolas Matte Bon. | ||
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| + | ref. [[https://arxiv.org/abs/1709.06733|Arxiv preprint]] | ||
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| === Arie Levit: Critical exponents of invariant random subgroups in negative curvature === | === Arie Levit: Critical exponents of invariant random subgroups in negative curvature === | ||
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| + | ref. [[https://arxiv.org/abs/1804.02995|Arxiv preprint]] | ||