Geodesic
Integral excision for $K$-theory
Homology, homotopy, and applications, Tome 15 (2013) no. 1, pp. 1-25.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2013.v15.n1.a1
Classification : 13D15, 14A20, 19D55, 55P43
Keywords: excision in algebraic $K$-theory, derived algebraic geometry, ring spectrum, cyclotomic trace 
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Bjørn Ian Dundas; Harald Øyen Kittang. Integral excision for $K$-theory. Homology, homotopy, and applications, Tome 15 (2013) no. 1, pp. 1-25. doi : 10.4310/HHA.2013.v15.n1.a1. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n1.a1/

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