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Some comments on piecewise-projective groups of the line
- Publication Year :
- 2023
-
Abstract
- We consider groups of piecewise-projective homeomorphisms of the line which are known to be non-amenable using notably the Carriere--Ghys theorem on ergodic equivalence relations. Replacing that theorem by an explicit fixed-point argument, we can strengthen the conclusion and exhibit uncountably many "amenability gaps" between various piecewise-projective groups.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.00796
- Document Type :
- Working Paper