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Sep 28, 2017 at 7:59 comment added Matthias Wendt A comment on the relation between Sasha's answer and the theorem of Cisinski and Tabuada: in the example Sasha gave, there are semiorthogonal decompositions of the derived categories. These imply that the noncommutative motives split like the ordinary motives do (which gives the equivalence of noncommutative motives). But semiorthogonal decompositions are far from giving equivalences of derived categories.
Sep 27, 2017 at 23:11 vote accept user114292
Sep 27, 2017 at 18:28 answer added Sasha timeline score: 5
Sep 26, 2017 at 15:37 comment added dhy What is the rational bounded derived category (as opposed to the usual one?)
Sep 26, 2017 at 8:01 history edited YCor CC BY-SA 3.0
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Sep 25, 2017 at 23:46 history asked user114292 CC BY-SA 3.0