Geodesic
Logarithmic topological Hochschild homology of topological $K$-theory spectra
Journal of the European Mathematical Society, Tome 20 (2018) no. 2, pp. 489-527

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

In this paper we continue our study of logarithmic topological Hochschild homology. We show that the inclusion of the connective Adams summand l into the p-local complex connective K-theory spectrum ku(p)​, equipped with suitable log structures, is a formally log THH-étale map, and compute the V(1)-homotopy of their logarithmic topological Hochschild homology spectra. As an application, we recover Ausoni's computation of the V(1)-homotopy of the ordinary THH of ku.
DOI : 10.4171/jems/772
Classification : 55-XX, 14-XX, 19-XX
Keywords: Logarithmic ring spectrum, Adams summand, complex topological K-theory spectrum 
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     author = {John Rognes and Steffen Sagave and Christian Schlichtkrull},
     title = {Logarithmic topological {Hochschild} homology of topological $K$-theory spectra},
     journal = {Journal of the European Mathematical Society},
     pages = {489--527},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2018},
     doi = {10.4171/jems/772},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/772/}
}
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John Rognes; Steffen Sagave; Christian Schlichtkrull. Logarithmic topological Hochschild homology of topological $K$-theory spectra. Journal of the European Mathematical Society, Tome 20 (2018) no. 2, pp. 489-527. doi: 10.4171/jems/772

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