Timeline for K-homology of Cantor set and abelian AF-algebras
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| Feb 4, 2015 at 16:39 | vote | accept | hans | ||
| Feb 3, 2015 at 21:04 | comment | added | hans | @David: Maybe you could explain this with dual = $Hom(K_0(A),Z)$. When is it so and why (ok one explanation is the main answer). | |
| Feb 3, 2015 at 14:01 | answer | added | Ulrich Pennig | timeline score: 2 | |
| S Feb 3, 2015 at 13:12 | history | suggested | Rasmus | CC BY-SA 3.0 |
replaced ? by Schochet
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| Feb 3, 2015 at 12:42 | review | Suggested edits | |||
| S Feb 3, 2015 at 13:12 | |||||
| Feb 3, 2015 at 3:46 | comment | added | David Handelman | And because $K_0(A)$ is free on countably many generators (if $A = C(X)$ where $X$ is Cantor), its dual is the product. | |
| Feb 3, 2015 at 3:43 | comment | added | David Handelman | Isn't it just the dual group of K$_0 (A)$ (here $A = C(X)$, but could be any C*-algebra)? That is, Hom$(K_0(A),Z)$ (since K$_0 C = Z$). For $X$ a Cantor set, this is uncountable. | |
| Feb 2, 2015 at 23:59 | comment | added | Eric Wofsey | I know almost nothing about KK-theory, but it seems to me that uncountability would follow from the fact that every infinite metrizable Stone space has $\mathbb{N}\cup\{\infty\}$ as a retract. | |
| Feb 2, 2015 at 22:17 | comment | added | Yemon Choi | Have you got access to Higson and Roe's book? I haven't got my copy to hand, but that is the first place I would look. | |
| Feb 2, 2015 at 22:00 | history | edited | Eric Wofsey |
edited tags
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| Feb 2, 2015 at 21:35 | review | First posts | |||
| Feb 2, 2015 at 21:45 | |||||
| Feb 2, 2015 at 21:30 | history | asked | hans | CC BY-SA 3.0 |