On p-Adic Topological K-Theory
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An exposition of the p-adic approach to topological K-theory is given, based on some simple facts about power series over the p-adic integers. As an application, the cohomology of certain spaces attached to p-adic L-functions is computed. These spaces are related to the algebraic K-theory of the integers.
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- Adams, J.F., Stable homotopy theory, Lecture Notes in Mathematics Vol. 3, Springer, New York 1964.Google Scholar
- Adams, J.F., Infinite Loop Spaces, Annals of Math. Study 90, Princeton Univeristy Press, 1978. Atiyah, M.F., and Tall, Group representations, a-rings and the J-homomorphism, Topology 8 (1969), 253 - 297.Google Scholar
- Hopkins, M., Lecture at the Adams Memorial Symposium, July 1990.Google Scholar
- Iwasawa, K., Lectures on p-adic L-functions, Annals of Math. Studies no. 74, Princeton University Press, Princeton, New Jersey, 1972.Google Scholar
- Mitchell, S.A., On the Lichtenbaum-Quillen conjectures from a stable homotopy-theoretic viewpoint, preprint 1990.Google Scholar
- Serre, J.P., Classes de corps cyclotomiques (d’apres K. Iwasawa), Sem. Bourbaki 1958, Exp. no. 174, llpp.Google Scholar
- Washington, L., Introduction to Cyclotomic Fields, Springer-Verlag, 1982.Google Scholar