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On transfer maps in the algebraic K-theory of spaces

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Raptis, George
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Date of publication of this fulltext: 14 Jun 2021 06:36


We show that the Waldhausen trace map TrX:A(X)→QX+, which defines a natural splitting map from the algebraic K-theory of spaces to stable homotopy, is natural up to weak homotopy with respect to transfer maps in algebraic K-theory and Becker-Gottlieb transfer maps respectively.

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