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Piecewise projective homeomorphisms and a noncommutative Steinberg extension
Authors:Peter Greenberg and Vlad Sergiescu
Abstract:Let CP 
$$\tilde P$$
(R) be the group of compactly supported homeomorphisms ofR= 
$$\tilde S^1$$
which are piecewise 
$$\widetilde{Sl_2 R}$$
with a parabolic defect at each breakpoint. An acyclic extension

$$1 \to CCP\tilde Pc(R) \to \mathcal{U} \to \widetilde{Sl_2 R} \to 1$$
Keywords:K 2  acyclic group  piecewise projective homeomorphism
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