Rigidity theorems for K- and H-cohomology and other functors

2015/03/30 by Uwe Jannsen, Jannsen, Uwe
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic Geometry and Number Theory #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1503.08742

Abstract

Suslin proved that for an extension K/k of algebraically closed fields the induced maps K_m(k)[n] --> K_m(K)[n] and K_m(k)/n ---> K_m(K)/n for the higher K-groups are isomorphisms, where A[n] is the subgroup of n-torsion in an abelien group, and A/n = A/nA, by definition. In this paper we generalize this to other functors and other field extensions.

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