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arXiv · 1901.05539

On transfer maps in the algebraic $K$-theory of spaces

George Raptis
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Abstract

We show that the Waldhausen trace map $\mathrm{Tr}_X \colon A(X) \to QX_+$, which defines a natural splitting map from the algebraic $K$-theory of spaces to stable homotopy, is natural up to \emph{weak} homotopy with respect to transfer maps in algebraic $K$-theory and Becker-Gottlieb transfer maps respectively.

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George Raptis. 2019-01-16. On transfer maps in the algebraic $K$-theory of spaces. https://arxiv.org/abs/1901.05539

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