On uniqueness of characteristic classes

Details On uniqueness of characteristic classes On uniqueness of characteristic classes

2006-06-10

arxiv.org/abs/math/0606244v2

Mathematics

K-Theory and Homology

22 pages; revised version

Scientific paper

We give an axiomatic characterization of maps from algebraic K-theory. The results apply to a class of maps from algebraic K-theory to any suitable cohomology theory or to algebraic K-theory, which includes all group morphisms. In particular, we obtain comparison theorems for the Chern character and Chern classes and for the Lambda and Adams operations on higher algebraic K-theory. We show that the Adams operations defined by Grayson agree with the ones defined by Gillet and Soule.

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