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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

9 votes

Is there a nice application of category theory to functional/complex/harmonic analysis?

At the suggestion of Yemon, I have moved my comment to an answer. The [Gelfand representation][1] [1]: http://en.wikipedia.org/wiki/Gelfand_representation gives an equivalence between the category of …