On the relative and bi-relative K-theory of rings of finite characteristic

2008/10/31 by Thomas Geisser, Lars Hesselholt · 1 citation
Mathematics · #math.KT #math.AT #msc:19D55 #msc:55Q91

paper · pdf · doi:10.1090/s0894-0347-2010-00682-0

published as J. Amer. Math. Soc. 24 (2011), 29-49 · 19 pages

arxiv created 2009/02/19 · arxiv updated 2015/03/27

Abstract

We prove that the relative K-groups associated with a nilpotent extension of Z/p^N Z-algebras and the bi-relative K-groups associated with a Milnor square of Z/p^N Z-algebras are p-primary torsion groups of bounded exponent. We also show that, in general, the cyclotomic trace map extends from Quillen K-theory to Bass completed non-connective algebraic K-theory.

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