Geodesic
Excision for $K$-theory of connective ring spectra
Homology, homotopy, and applications, Tome 10 (2008) no. 1, pp. 29-39.

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

We extend Geisser and Hesselholt’s result on “bi-relative $K$-theory” from discrete rings to connective ring spectra. That is, if $A$ is a homotopy cartesian $n$-cube of ring spectra (satisfying connectivity hypotheses), then the $(n + 1)$-cube induced by the cyclotomic trace $\mathcal{K(A) \to TC(A)}$ is homotopy cartesian after profinite completion. In other words, the fiber of the profinitely completed cyclotomic trace satisfies excision.
DOI : 10.4310/HHA.2008.v10.n1.a2
Classification : 18G30, 19C40, 19D55
Keywords: algebraic $K$-theory, excision, ring spectrum 
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Bjørn Ian Dundas; Harald Øyen Kittang. Excision for $K$-theory of connective ring spectra. Homology, homotopy, and applications, Tome 10 (2008) no. 1, pp. 29-39. doi : 10.4310/HHA.2008.v10.n1.a2. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n1.a2/

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