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