On uniqueness of characteristic classes

TY - JOUR

T1 - On uniqueness of characteristic classes

AU - Feliu, Elisenda

PY - 2011/6

Y1 - 2011/6

N2 - 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.

AB - 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.

U2 - 10.1016/j.jpaa.2010.08.006

DO - 10.1016/j.jpaa.2010.08.006

M3 - Journal article

SN - 0022-4049

VL - 215

SP - 1223

EP - 1242

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 6

ER -