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cretaed a brief entry K-motive in order to record a cool statement somewhat hidden in an article by Tabuada froma year back. Thanks a lot for Adeel Khan Yusufzai for pointing this out!
Thanks!
After creating the entry I had been wondering if there should be added citations to Grigory Garkusha. But then I was being lazy and just added a “Related entries” pointer to bivariant algebraic K-theory.
So thanks again for adding the links.
Interesting! I guess this DK should embed fully faithfully into the category of noncommutative mixed motives.
I’ve just seen a new article by Tabuada where he establishes the mixed analogue of the fully faithful embedding ChMot(Q)/Q(1) -> NChMot. I would guess that his functor DM(Q)/Q(1)[2] -> NMMot (noncommutative mixed motives) should factor as an equivalence with DK (Garkusha-Panin) followed by a fully faithful embedding into NMMot (noncommutative mixed motives). Though I haven’t actually seen their definition of DK yet.
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