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Jan 31 at 6:40 comment added ThorbenK @RyanBudney I‘m aware of that. But for the context I have in mind, the fact that the map from cohomology of the topological group to the cohomology of the discrete group being zero is kind of the point.
Jan 30 at 21:39 comment added Ryan Budney @KevinCasto I'm not asserting it solves the problem but it provides an enormous amount of insight. The question-asker does not make it clear he is aware, so I thought I would point out a result that gives structure.
Jan 30 at 19:19 comment added Kevin Casto @RyanBudney just to be clear I don't think Milnor's paper solves this problem -- in the rat/real coeffs case he just focuses on showing that the map to group homology with the usual topology is zero in a range.
Jan 30 at 19:05 comment added Ryan Budney You are aware of Milnor's theorem "On the homology of Lie groups made discrete"?
Jan 30 at 16:30 history asked ThorbenK CC BY-SA 4.0