Timeline for Algebraic K theory, Karoubi completion and splitting
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 30, 2015 at 1:49 | comment | added | Ben Wieland | Your premise is false: the map on $K^0$ is not a rational isomorphism. Just take the subcategory of objects with trivial class in $K^0$. See Thomason's Classification of triangulated subcategories. | |
| Dec 26, 2015 at 18:00 | comment | added | Mikhail Bondarko | I doubt that any property of pre-triangulated smooth DG categories (that is not valid in some more general context) may be classically known.:) So, could you give a reference? | |
| Dec 26, 2015 at 17:30 | comment | added | Dmitry Vaintrob | Sure. Take complexes of vector spaces of even total dimension. | |
| Dec 26, 2015 at 7:45 | comment | added | მამუკა ჯიბლაძე | Could you give an example when the map on $K^0$ is not an isomorphism? | |
| Dec 26, 2015 at 4:43 | history | asked | Dmitry Vaintrob | CC BY-SA 3.0 |