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May 29, 2017 at 22:19 comment added Bombyx mori There is nothing wrong in their answer. So I do not understand. I do think double complex (or the more general spectral sequence in Loday's book) is a natural answer.
May 29, 2017 at 22:00 comment added truebaran I agree with you, however I'm curious whether the above argument can be repaired to work in the setting of ordinary complexes instead of double complexes. This question is inspired by the Chapter 3 in M. Khalkhali book "Basic Noncommutative Geometry".
May 24, 2017 at 1:36 history answered Bombyx mori CC BY-SA 3.0