On the Hurewicz map and Postnikov invariants of KZ, by Christian Ausoni

In this note, we show that for a Vandiver prime p Bokstedt's space JKZ is a retract of KZ at p. This result is used to determine how far from a split injection the Hurewicz map for KZ is, thus producing lower bounds for the order of the Postnikov invariants of the K-theory space KZ. Under an extra hypothesis, we give the exact p-primary part of the order of the latter invariants.

Address: Institut de mathematiques, Universite de Lausanne, CH-1015 Lausanne, Switzerland

Christian Ausoni <christian.ausoni@ima.unil.ch>