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• W1533040737 abstract "We compute the algebraic K-theory modulo p and v_1 of the S-algebra ell/p = k(1), using topological cyclic homology. We use this to compute the homotopy cofiber of a transfer map K(L/p) --> K(L_p), which we interpret as the algebraic K-theory of the field of the p-complete Adams summand of topological K-theory. The results suggest that there is an arithmetic duality theorem for this fraction field, much like Tate--Poitou duality for p-adic fields." @default.
• W1533040737 created "2016-06-24" @default.
• W1533040737 creator A5015599132 @default.
• W1533040737 creator A5091312658 @default.
• W1533040737 date "2009-11-25" @default.
• W1533040737 modified "2023-09-27" @default.
• W1533040737 title "Algebraic K-theory of the fraction field of topological K-theory" @default.
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