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Nov 3, 2013 at 17:23 history edited minimalrho CC BY-SA 3.0
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Nov 3, 2013 at 17:22 comment added minimalrho You're right. I just cite Gelfand whenever I use the fact that they're equivalent categories without thinking whether it's necessary.
Nov 3, 2013 at 8:23 comment added Qiaochu Yuan What do you need Gelfand representation for? Any map $Y \to X$ induces a map $C(X) \to C(Y)$ by pullback. Gelfand representation is for going the other way.
Nov 2, 2013 at 22:22 history asked minimalrho CC BY-SA 3.0