Geodesic
Stability of Loday constructions
Homology, homotopy, and applications, Tome 24 (2022) no. 1, pp. 245-269.

Voir la notice de l'article provenant de la source International Press of Boston

We study the question for which commutative ring spectra $A$ the tensor of a simplicial set $X$ with $A, X \otimes A$, is a stable invariant in the sense that it depends only on the homotopy type of $\Sigma X$. We prove several structural properties about different notions of stability, corresponding to different levels of invariance required of $X \otimes A$.We establish stability in important cases, such as complex and real periodic topological K‑theory, $KU$ and $KO$.
DOI : 10.4310/HHA.2022.v24.n1.a13
Classification : 18G60, 55P43
Keywords: Loday construction, stability, topological Hochschild homology, commutative ring spectrum 
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Ayelet Lindenstrauss; Birgit Richter. Stability of Loday constructions. Homology, homotopy, and applications, Tome 24 (2022) no. 1, pp. 245-269. doi : 10.4310/HHA.2022.v24.n1.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n1.a13/

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