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May 5, 2016 at 18:43 history edited John Baez CC BY-SA 3.0
fixed mistake about all characters coming from integers
May 5, 2016 at 18:36 history edited John Baez CC BY-SA 3.0
fixed mistake about all characters coming from integers
May 5, 2016 at 18:19 comment added John Baez Thanks, you're right of course! Let me fix my answer just to avoid confusion.
May 2, 2016 at 5:57 comment added Uri Bader Indeed, characters supported on the boundary of $\mathbb{Z}$ in the Stone Ceck compactification will not be weak* continuous.
May 2, 2016 at 4:51 comment added Yemon Choi In the Cstar context, the characters of $\ell^\infty({\bf Z})$ are NOT all given by evaluation at integers -- rather, they correspond to points of the Stone-Cech compactification. I suspect that in your second paragraph you want to restrict attention to weak-star continuous characters, which are all of the form you state.
May 2, 2016 at 4:44 history answered John Baez CC BY-SA 3.0