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Antieau, Ben; Mathew, Akhil; Morrow, Matthew (, Documenta Mathematica)We establish various properties of thep-adic algebraic\text{K}-theory of smooth algebras over perfectoid rings living over perfectoid valuation rings. In particular, thep-adic\text{K}-theory of such rings is homotopy invariant, and coincides with thep-adic\text{K}-theory of thep-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 NizioĊ.more » « less
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Rosales, Adrianne M.; Rodell, Christopher B.; Chen, Minna H.; Morrow, Matthew G.; Anseth, Kristi S.; Burdick, Jason A. (, Bioconjugate Chemistry)
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