Abstract
The Ghys-Margulis alternative asserts that a subgroup G of homeomorphisms of the circle which does not contain a free subgroup on two generators must admit an invariant probability measure. Malyutin’s theorem classifies minimal actions of G. We present a short proof of Malyutin’s theorem and then deduce Margulis’ theorem which confirms the G-M alternative. The basic ideas are borrowed from the original work of Malyutin, but our proof is considerably shorter.
Original language | English |
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Pages (from-to) | 5463-5467 |
Number of pages | 5 |
Journal | Proceedings of the American Mathematical Society |
Volume | 145 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2017 |
Funding
Funders | Funder number |
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Israel Science Foundation | ISF 668/13 |