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- Title
INTEGRAL EXCISION FOR K-THEORY.
- Authors
DUNDAS, BJØRN IAN; KITTANG, HARALD ØYEN
- 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.
- Subjects
INTEGRAL equations; K-theory; HOMOTOPY theory; CARTESIAN coordinates; CYCLOTOMIC fields; HOMOLOGY theory; TOPOLOGY
- Publication
Homology, Homotopy & Applications, 2013, Vol 15, Issue 1, p1
- ISSN
1532-0073
- Publication type
Article
- DOI
10.4310/HHA.2013.v15.n1.a1