The Homotopy Groups of the Algebraic K-theory of the Sphere Spectrum
نویسندگان
چکیده
We calculate the homotopy groups of K(S) in terms of the homotopy groups of K(Z), the homotopy groups of CP∞ −1, and the homotopy groups of S. This completes the program begun by Waldhausen, who computed the rational homotopy groups (building on work of Quillen and Borel), and continued by Rognes, who calculated the groups at regular primes in terms of the homotopy groups of CP∞ −1, and the homotopy groups of S.
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