Excision for K-theory of connective ring spectra

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We extend Geisser and Hesselholt's result on ``bi-relative K-theory'' from discrete rings to connective ring spectra. That is, if $\mathcal A$ is a homotopy cartesian $n$-cube of ring spectra (satisfying connectivity hypotheses), then the $(n+1)$-cube induced by the cyclotomic trace $$K(\mathcal A)\to TC(\mathcal A)$$ is homotopy cartesian after profinite completion. In other words, the fiber of the profinitely completed cyclotomic trace satisfies excision.
11 pages

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K-Theory and Homology, 19D55; 55P43; 19C40

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http://salesiana.dossiersoluciones.com/handle/123456789/128133

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.3946
 http://arxiv.org/abs/0704.3946

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arXiv