nLab Dennis trace




The Dennis trace is a natural morphism from algebraic K-theory of rings to Hochschild homology

K()THH(). K(-) \longrightarrow THH(-) \,.

While various versions of Chern character are maps from K-theory to some (co)homology of a space, algebra, scheme, the Dennis trace map underlies this phenomenon at the more fundamental level of K-theory space.

The Dennis trace lifts to to ring spectra and as such factors through the map TC()THH()TC(-) \longrightarrow THH(-) ]] from topological cyclic homology, this lift is called the cyclotomic trace.


Relation to bicategorical trace:

Last revised on December 7, 2022 at 05:25:29. See the history of this page for a list of all contributions to it.