Cyclic homology, Serre's local factors and the $\lambda$-operations
  We show that for a smooth, projective variety X defined over a number field K, cyclic homology with coefficients in the ring of infinite adeles of K, provides the right theory to obtain, using the lambda-operations, Serre's archimedean local factors of the complex L-function of X as regularized determinants. 
Alain Connes and Caterina Consani
math.AG math.KT math.NT