Integral Excision for K-theory

  • BJØRN IAN DUNDAS, HARALD ØYEN KITTANG
  • Published 2010

Abstract

If A is a homotopy cartesian square of ring spectra satisfying connectivity hypotheses, then the cube induced by Goodwillie’s integral cyclotomic trace K(A) → TC(A) is homotopy cartesian. In other words, the homotopy fiber of the cyclotomic trace satisfies excision. The method of proof gives as a spin-off new proofs of some old results, as well as some new results, about periodic cyclic homology, and more relevantly for our current application the T-Tate spectrum of topological Hochschild homology, where T is the circle group.

Cite this paper

@inproceedings{DUNDAS2010IntegralEF, title={Integral Excision for K-theory}, author={BJ\ORN IAN DUNDAS and HARALD \OYEN KITTANG}, year={2010} }