Open AccessThe K–theory presheaf of spectra
Author(s) -
John F. Jardine
Publication year - 2009
Publication title -
citeseer x (the pennsylvania state university)
Language(s) - English
Resource type - Conference proceedings
DOI - 10.2140/gtm.2009.16.151
Subject(s) - mathematics , galois group , descent (aeronautics) , spectrum (functional analysis) , pure mathematics , group (periodic table) , spectral sequence , discrete mathematics , algebra over a field , physics , cohomology , quantum mechanics , meteorology
Some applications are displayed: these include a Galois cohomological descent spectral sequence for the etale K–theory of a scheme (where the Galois group is the Grothendieck fundamental group), and the Morel–Voevodsky description of Thomason–Trobaugh K–theory as Nisnevich K–theory in nonnegative degrees. The is also a spectrum-level description of Voevodsky’s periodicity operator for Nisnevich K–theory.
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