Timeline for When is the "Gelfand Remainder" compact?
Current License: CC BY-SA 4.0
8 events
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May 30 at 7:22 | comment | added | Daron | @YuliaKuznetsova Yes $C^*(S,\mathbb R)$ denotes the continuous bounded functions $S \to \mathbb R$. | |
May 30 at 7:21 | history | edited | Daron | CC BY-SA 4.0 |
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May 30 at 7:19 | comment | added | Yulia Kuznetsova | What is C*(S,R) for a topological space S? Did you mean Cb(S,R) = the space of continuous bounded functions? Or, if S is locally compact, one can consider the space C0(S,R) of continuous functions vanishing at infinity. To speak of C*-algebras, you would need a semigroup structure on S. | |
May 26 at 11:13 | comment | added | Daron | Hi KP. You are right, it should be "separates the points of S" and "Gelfand Spectrum of A". | |
May 26 at 11:12 | history | edited | Daron | CC BY-SA 4.0 |
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May 26 at 9:15 | comment | added | KP Hart | Just to be sure: "$A$ separates the points of $A$" should probably be "$A$ separates the points of $S$". And shouldn't $\gamma S$ be $\gamma A$?, the spectrum of the algebra $A$? | |
May 22 at 10:51 | history | edited | Daron | CC BY-SA 4.0 |
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May 22 at 10:46 | history | asked | Daron | CC BY-SA 4.0 |