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math.KT2010★ 1 cited
Algebraic K-theory of the first Morava K-theory
Christian Ausoni, John Rognes
We compute the algebraic K-theory modulo p and v_1 of the S-algebra ell/p = k(1), using topological cyclic homology.
math.KT2009★ 7 cited
Algebraic K-theory of the fraction field of topological K-theory
Christian Ausoni, John Rognes
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…
math.KT2007★ 15 cited
Rational algebraic K-theory of topological K-theory
Christian Ausoni, John Rognes
We show that after rationalization there is a homotopy fiber sequence BBU -> K(ku) -> K(Z). We interpret this as a correspondence between the virtual 2-vector bundles over a space…