Adams operations and the Dennis trace map Original Research Article

We show that the Adams operations on the algebraic K-theory of a commutative unital image-algebra correspond to Adams operations on Hochschild homology via the Dennis trace map. This establishes a conjecture of Geller and Weibel, Hodge decomposition of Loday symbols in K-theory and cyclic homology, K-theoty 8 (1994) 587–632, that the Dennis trace map preserves the Hodge decomposition.