Topological Full Groups of Minimal Subshifts and Just-infinite Groups

@inproceedings{Hjorth2012TopologicalFG,
  title={Topological Full Groups of Minimal Subshifts and Just-infinite Groups},
  author={Greg Hjorth},
  year={2012}
}
In [24], confirming a conjecture of Hjorth-Kechris [16], Thomas-Velickovic proved that the isomorphism relation on the space Gfg of finitely generated groups is a universal countable Borel equivalence relation. (Here Gfg denotes the Polish space of finitely generated groups introduced by Grigorchuk [12]; i.e. the elements of Gfg are the isomorphism types of marked groups (G, c ), where G is a finitely generated group and c is a finite sequence of generators.) This result suggests the project of… CONTINUE READING

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Showing 1-10 of 20 references

Some remarks on topological full groups of Cantor minimal systems, Internat

  • H. Matui
  • J. Math
  • 2006
Highly Influential
7 Excerpts

A Glimm-Effros dichotomy for Borel equivalence relations

  • L. Harrington, A. S. Kechris, A. Louveau
  • J. Amer. Math. Soc
  • 1990
Highly Influential
4 Excerpts

Degrees of growth of finitely generated groups and the theory of invariant means, Math. USSR-Izv

  • R. I. Grigorchuk
  • 1985
Highly Influential
6 Excerpts

Medynets, Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems

  • K. S. Bezuglyi
  • Colloq. Math
  • 2008
Highly Influential
4 Excerpts

Ol’shanski, SQ-universality of hyperbolic groups(Russian)

  • A. Yu
  • Mat. Sb
  • 1995
Highly Influential
4 Excerpts

and K

  • R. Grigorchu
  • Medynets, Topological full groups are locally…
  • 2012
3 Excerpts

and N

  • K. Juschenk
  • Monod, Cantor systems, piecewise translations and…
  • 2012
3 Excerpts

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