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arXiv · 1905.05619

Stability of Loday constructions

Ayelet Lindenstrauss·Birgit Richter
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Abstract

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 $X\otimes A$, and establish stability in important cases, such as complex and real periodic topological K-theory, $KU$ and $KO$.

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Ayelet Lindenstrauss, Birgit Richter. 2019-05-14. Stability of Loday constructions. https://arxiv.org/abs/1905.05619

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