The Tate Thomason Conjecture

Details The Tate Thomason Conjecture The Tate Thomason Conjecture

2010-07-02

arxiv.org/abs/1007.0427v6

Mathematics

Algebraic Topology

15 pages

Scientific paper

We prove the Tate Thomason conjecture using K(l) localized spectra where K(1)=E(1)/l where l is an odd prime and E(1) is the complex topology spectrum. Fundamental to our proof is Theorem 2.1 below, where we show that certain K(1) localized spectra are E(1)^ module spectra.We also make fundamental use of the notion of etale and topological K Theory and its relation to algebraic K theory through Thomason's descent theorem.

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