Geodesic
On localization sequences in the algebraic $K$-theory of ring spectra
Journal of the European Mathematical Society, Tome 20 (2018) no. 2, pp. 459-487

Voir la notice de l'article provenant de la source EMS Press

We identify the K-theoretic fiber of a localization of ring spectra in terms of the K-theory of the endomorphism algebra spectrum of a Koszul-type complex. Using this identification, we provide a negative answer to a question of Rognes for n>1 by comparing the traces of the fiber of the map K(BP〈n〉) → K(E(n)) and of K(BP〈n−1〉) in rational topological Hochschild homology.
DOI : 10.4171/jems/771
Classification : 19-XX, 16-XX, 18-XX, 55-XX
Keywords: Algebraic K-theory, structured ring spectra, trace methods 
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     title = {On localization sequences in the algebraic $K$-theory of ring spectra},
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Benjamin Antieau; Tobias Barthel; David Gepner. On localization sequences in the algebraic $K$-theory of ring spectra. Journal of the European Mathematical Society, Tome 20 (2018) no. 2, pp. 459-487. doi: 10.4171/jems/771

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