Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516292 | Topology | 2005 | 30 Pages |
Abstract
We give a functorial description of the topological cyclic homology of a ring A in terms of the relative algebraic K-theory of the truncated polynomial rings An=A[x]/xn. This description involves the projection and transfer maps relating the relative K-theory spectra KË(An) when n varies. From this point of view the cyclotomic trace corresponds to multiplication by the units 1+x+â¯+xn-1 in KË1(Z[x]/xn).
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Stanislaw Betley, Christian Schlichtkrull,