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Groups of piecewise projective homeomorphisms. (English) Zbl 1305.57002
Summary: The group of piecewise projective homeomorphisms of the line provides straightforward torsion-free counterexamples to the so-called von Neumann conjecture. The examples are so simple that many additional properties can be established.

MSC:
57M07 Topological methods in group theory
43A07 Means on groups, semigroups, etc.; amenable groups
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