Topological full groups of minimal subshifts and the classification problem for finitely generated complete groups

Research output: Contribution to journalArticlepeer-review

Abstract

Using results on the structure of the topological full groups ofminimal subshifts, we prove that the isomorphism relation on the space of finitely generated complete groups is not smooth.

Original languageEnglish (US)
Pages (from-to)327-347
Number of pages21
JournalGroups, Geometry, and Dynamics
Volume13
Issue number1
DOIs
StatePublished - Jan 2018

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

Keywords

  • Borel equivalence relation.
  • Minimal subshift
  • Topological full group

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