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Timeline for Classifying space of centralizer

Current License: CC BY-SA 4.0

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Feb 8 at 11:26 comment added Thomas That is a nice answer, thanks a lot! For the second part of your argument I also found this nlab page helpful: ncatlab.org/nlab/show/free+loop+space+of+classifying+space It is shown there that $BH\times_{BH\times BH} BH \simeq H_{hH}$ (for the adjoint action), and pulling this back to $BG$ yields $BG\times_{BH\times BH} BH \simeq BG\times_{BG\times BH} BG$.
Feb 8 at 11:07 vote accept Thomas
Feb 4 at 20:45 history answered Maxime Ramzi CC BY-SA 4.0