Abstract
In 1998, Becker and Schultz [6] 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) |
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Pages (from-to) | 133-173 |
Number of pages | 41 |
Journal | Pure and Applied Mathematics Quarterly |
Volume | 8 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2012 |
All Science Journal Classification (ASJC) codes
- General Mathematics