The result which I aim to establish precisely asserts that, in the case of the little 2-discs operad, the group of rational homotopy automorphisms reduce to homotopy automorphisms that can be detected by their action on fundamental groupoids.
General reference:B. Fresse, "Homotopy of operads and Grothendieck-Teichmüller Groups". Book project. First volume available on the web-page "http://math.univ-lille1.fr/%7Efresse/OperadGT-December2012Preprint.pdf"
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