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Frobenius and Verschiebung for $K$-theory of endomorphisms (2507.05956v1)
Published 8 Jul 2025 in math.KT, math.AT, and math.CT
Abstract: We show that the Frobenius and Verschiebung maps that are fundamental to Witt vectors lift to the reduced K-theory of endomorphisms. In particular, we define Frobenius and Verschiebung maps for the reduced K-theory of twisted endomorphisms of modules over non commutative rings and show they have the expected behavior after applying the iterated trace map
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