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Apr 16, 2015 at 23:00 comment added Jonathan Gleason You should consider checking out Chapter 3 of Dixmier's $C^*$-algebra book. There, he defines $\mathrm{Spec}\,(A)$ for $A$ a $C^*$-algebra to be the set of equivalence classes of irreducible representations. If $A$ is commutative, by taking kernels, this reduces to 'ordinary' $\mathrm{Spec}\, (A)$.
Jan 28, 2015 at 5:04 answer added Pace Nielsen timeline score: 10
Oct 31, 2011 at 9:41 comment added Aaron Mazel-Gee I found the following short paper very readable, and it describes the various similarities and differences between commutative and non-commutative (algebraic) geometry: math.brown.edu/~noahgian/files/NCG.pdf
Feb 21, 2010 at 11:05 vote accept Shizhuo Zhang
Feb 15, 2010 at 17:15 comment added Theo Johnson-Freyd I cleaned up some TeX. In particular, \in is preferable to \epsilon.
Feb 15, 2010 at 17:14 history edited Theo Johnson-Freyd CC BY-SA 2.5
fixed some tex
Feb 15, 2010 at 13:22 answer added Tom Leinster timeline score: 24
Feb 15, 2010 at 11:46 history asked Shizhuo Zhang CC BY-SA 2.5