On uniqueness of characteristic classes
Research output: Contribution to journal › Journal article › Research › peer-review
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 ¿-operations on higher algebraic K-theory. We show that the Adams operations and ¿-operations defined by Grayson agree with the ones defined by Gillet and Soulé.
|Journal of Pure and Applied Algebra
|Number of pages
|Published - 2011