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
Mots-clés : Logarithmic ring spectrum, Adams summand, complex topological K-theory spectrum 
@article{JEMS_2018_20_2_a6,
     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 = {https://geodesic-test.mathdoc.fr/articles/10.4171/jems/772/}
}
TY  - JOUR
AU  - John Rognes
AU  - Steffen Sagave
AU  - Christian Schlichtkrull
TI  - Logarithmic topological Hochschild homology of topological $K$-theory spectra
JO  - Journal of the European Mathematical Society
PY  - 2018
SP  - 489
EP  - 527
VL  - 20
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.4171/jems/772/
DO  - 10.4171/jems/772
ID  - JEMS_2018_20_2_a6
ER  - 
%0 Journal Article
%A John Rognes
%A Steffen Sagave
%A Christian Schlichtkrull
%T Logarithmic topological Hochschild homology of topological $K$-theory spectra
%J Journal of the European Mathematical Society
%D 2018
%P 489-527
%V 20
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.4171/jems/772/
%R 10.4171/jems/772
%F JEMS_2018_20_2_a6
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. https://geodesic-test.mathdoc.fr/articles/10.4171/jems/772/

Cité par Sources :