论文标题
完美环的K理论
The K-theory of perfectoid rings
论文作者
论文摘要
我们在居住在PerfectOdoid评估环上的Perfectoid环上的P-ADIC代数K理论的P-ADIC代数K理论的各种特性。特别是，这种环的P-ADIC K理论是同质的，并且与高度的P-ADIC通用纤维的P-ADIC K理论相吻合。在混合特征的完美素质评估环上平滑代数的情况下，后者的同构在各个程度上都存在，并将其概括为nizioł的结果。
We establish various properties of the p-adic algebraic K-theory of smooth algebras over perfectoid rings living over perfectoid valuation rings. In particular, the p-adic K-theory of such rings is homotopy invariant, and coincides with the p-adic K-theory of the p-adic generic fibre in high degrees. In the case of smooth algebras over perfectoid valuation rings of mixed characteristic the latter isomorphism holds in all degrees and generalises a result of Nizioł.
