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 ¿-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.
Original language | English |
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Journal | Journal of Pure and Applied Algebra |
Volume | 215 |
Issue number | 6 |
Pages (from-to) | 1223-1242 |
Number of pages | 20 |
ISSN | 0022-4049 |
DOIs | |
Publication status | Published - 2011 |