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Sep 30, 2015 at 9:59 vote accept Jiang
Aug 29, 2015 at 2:46 comment added Amritanshu Prasad That seems to do the job for second countable compact abelian groups. Thanks for digging it out.
Aug 28, 2015 at 20:16 comment added Jiang thanks, it seems that theorem 10 in ams.org/mathscinet-getitem?mr=414775 is the statement you are talking above?
Aug 28, 2015 at 3:16 comment added Amritanshu Prasad Indeed my answer leaves that issue unaddressed. Isn't there a theorem that says that every measurable cocycle is cohomologous to a continuous one? I can't remember where I have seen such statements.
Aug 27, 2015 at 13:40 comment added Jiang thanks, but I am still worried that the 2-cocycle relation holds almost everywhere, not everywhere in my problem, is it appropriate to have a pure algebraic argument as above to show this?
Aug 27, 2015 at 13:14 history edited Amritanshu Prasad CC BY-SA 3.0
added 14 characters in body
Aug 27, 2015 at 13:01 history answered Amritanshu Prasad CC BY-SA 3.0