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

Published 16 Jan 2019 in math.KT and math.AT | (1901.05539v2)

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

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