In 1998, Becker and Schultz  published axioms characterizing the Becker-Gottlieb transfer τBG (p):E ∞(B +) → E ∞ (E +) for certain types of fibrations p: E → B. We verify these axioms for the composite of the algebraic K-theory transfer τK (p) E ∞ (B +) → A(E) of any perfect fibration p followed by the evaluation (at the unit) from the free loop space Λ of the Bökstedt trace map tr: A(E) → E ∞ (ΛE +) → E ∞ (E +). As a consequence, for p any compact ANR fibration with finite CW base (those considered by Becker-Shultz), τBG (p) tr τK (p).
|Original language||English (US)|
|Number of pages||41|
|Journal||Pure and Applied Mathematics Quarterly|
|State||Published - Jan 1 2012|
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