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|a Trigo Neri Tabuada, Goncalo Jorge
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Trigo Neri Tabuada, Goncalo Jorge
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|a Noncommutative rigidity
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|b Springer Berlin Heidelberg,
|c 2018-07-25T18:06:52Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/117123
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|a 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. Keywords: Algebraic cycles, K-theory, noncommutative algebraic geometry
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|a National Science Foundation (U.S.) (CAREER Award 1350472)
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|a Portuguese Science and Technology Foundation (Grant PEst-OE/MAT/UI0297/2014)
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|t Mathematische Zeitschrift
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