Timeline for When is K0 of a C* algebra finitely generated?
Current License: CC BY-SA 3.0
7 events
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| Apr 28, 2018 at 22:33 | comment | added | Ruy | Regarding the C*-algebra of an ample groupoid having an infinite unit space, such as ${\cal O}_n$, there are zillions of projections taking the form of the characteristic function of a compact open set. It is therefore highly unlikely that these algebras ever turn out to have a finitely generated $K_0$ group. When they do, it is partly due to the hard work of the clopen bissections identifying projections in this big set. | |
| Apr 27, 2018 at 15:22 | comment | added | Benjamin Steinberg | It's easy to see that class of the identity has order $n-1$. I'd be curious to see if there is some easy proof that it is finitely generated that doesn't go through showing the class of the identity generates the group. | |
| S Apr 27, 2018 at 12:18 | history | edited | YCor | CC BY-SA 3.0 |
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| S Apr 27, 2018 at 12:18 | history | suggested | Glorfindel | CC BY-SA 3.0 |
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| Apr 27, 2018 at 12:07 | review | Suggested edits | |||
| S Apr 27, 2018 at 12:18 | |||||
| Apr 27, 2018 at 11:59 | review | First posts | |||
| Apr 27, 2018 at 12:07 | |||||
| Apr 27, 2018 at 11:58 | history | asked | Severino Melo | CC BY-SA 3.0 |