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Sep 29, 2020 at 15:11 vote accept Christoph Weis
Sep 29, 2020 at 13:09 comment added Dmitri Pavlov @ChristophWeis: Simply connected abelian Lie groups are finite-dimensional real vector spaces, i.e., R^n. The corresponding chain complex is the n-fold direct sum of chain complexes for R.
Sep 29, 2020 at 10:56 comment added Christoph Weis Thank you very much for your answer! You have convinced me that it is enough to treat the discrete and simply-connected case. However, I had another try at tracing through the proof for $A=\mathbb{R}$ mentioned in my post. It is not obvious to me that this generalises to simply connected $A$. Do you have a reference for this claim?
Sep 29, 2020 at 1:57 history answered Dmitri Pavlov CC BY-SA 4.0