Excision for K-theory of connective ring spectra

Simple item page
dc.creatorDundas, Bjørn Ian
dc.creatorKittang, Harald Øyen
dc.date2007-04-30
dc.date.accessioned2026-07-07T07:58:47Z
dc.date.available2026-07-07T07:58:47Z
dc.descriptionWe 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0704.3946
dc.identifierhttp://arxiv.org/abs/0704.3946
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128133
dc.subjectK-Theory and Homology
dc.subject19D55; 55P43; 19C40
dc.titleExcision for K-theory of connective ring spectra
dc.typetext

Files

Collections

arXiv