research_talks
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research_talks [2018/05/11 09:54] jraimbau |
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| The purpose of this talk would be to investigate IRS's in groups acting on rooted trees, in particular the group of finitary automorphisms of a //d//-ary rooted tree. We exploit the p.m.p. action of these groups on the boundary of the tree to understand fixed point sets of ergodic IRS's. We show that in the fixed point free case IRS's behave like the ones in the Nevo-Stück-Zimmer world, but if there are fixed points they resemble the ones in Vershik's theorem on the finitary permutation group. Joint work with László Márton Tóth. | The purpose of this talk would be to investigate IRS's in groups acting on rooted trees, in particular the group of finitary automorphisms of a //d//-ary rooted tree. We exploit the p.m.p. action of these groups on the boundary of the tree to understand fixed point sets of ergodic IRS's. We show that in the fixed point free case IRS's behave like the ones in the Nevo-Stück-Zimmer world, but if there are fixed points they resemble the ones in Vershik's theorem on the finitary permutation group. Joint work with László Márton Tóth. | ||
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| + | ref. [[https://arxiv.org/abs/1801.05801|Arxiv preprint]] | ||
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research_talks.txt · Last modified: 2018/05/11 09:55 by jraimbau
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