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math.KT2006★ 25 cited
The localization sequence for the algebraic K-theory of topological K-theory
Andrew J. Blumberg, Michael A. Mandell
We prove a conjecture of Rognes by establishing a localization cofiber sequence of spectra, K(Z) to K(ku) to K(KU) to Sigma K(Z), for the algebraic K-theory of topological K-theory…
math.KT2004
Rings, modules, and algebras in infinite loop space theory
A. D. Elmendorf, M. A. Mandell
We give a new construction of the algebraic -theory of small permutative categories that preserves multiplicative structure, and therefore allows us to give a unified treatment…