20 citations · 48 across the 8 of their papers we have counts for
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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.AT2009★ 20 cited
On the algebraic K-theory of the complex K-theory spectrum
Christian Ausoni
Let p>3 be a prime, let ku be the connective complex K-theory spectrum, and let K(ku) be the algebraic K-theory spectrum of ku. We study the p-primary homotopy type of the spectrum…