Adams operations and λλ-operations on classifying oriented cohomology theories

Adams operations on algebraic cobordism with rational coefficients are defined and shown to descend to the oriented cohomology theories with rational coefficients which are universal with respect to their group law. With the induced structure of special λλ-ring we show that we can regard the γγ-filtration on CHQ∗ as a deformation of the classical γγ-filtration on KQ0.