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- W3037933165 abstract "In this article we prove that the numerical Grothendieck group of every smooth proper dg category is invariant under primary field extensions, and also that the mod-n algebraic K-theory of every dg category is invariant under extensions of separably closed fields. As a byproduct, we obtain an extension of Suslin’s rigidity theorem, as well as of Yagunov-Østvær’s equivariant rigidity theorem, to singular varieties. Among other applications, we show that base-change along primary field extensions yields a faithfully flat morphism between noncommutative motivic Galois groups. Finally, along the way, we introduce the category of n-adic noncommutative mixed motives." @default.
- W3037933165 created "2020-07-02" @default.
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- W3037933165 date "2017-11-30" @default.
- W3037933165 modified "2023-09-26" @default.
- W3037933165 title "Noncommutative rigidity" @default.
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- W3037933165 doi "https://doi.org/10.1007/s00209-017-1998-5" @default.
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