Timeline for Minimal projections and pure states in scattered $C^*$ algebras
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| May 6, 2017 at 4:07 | comment | added | Nik Weaver | I just don't think there's anything more informative one can say than "the pure states of the form $\lambda_p$". | |
| May 5, 2017 at 18:26 | comment | added | user496750 | Could you tell me why you think there's no meaningful answer to that question? | |
| May 5, 2017 at 18:15 | comment | added | Nik Weaver | It's certainly injective --- if $\lambda_p = \lambda_q$ then $\lambda_p(q) = 1$ since $\lambda_q(q) = 1$. But that means $pqp = p$, and similarly we get $qpq = q$. This can only happen if $p = q$. I don't think there's any meaningful answer to "what is the range". | |
| May 5, 2017 at 13:28 | history | edited | user496750 | CC BY-SA 3.0 |
deleted 7 characters in body
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| May 5, 2017 at 12:21 | history | asked | user496750 | CC BY-SA 3.0 |